Ether derivative

1. An ether compound of formula (I), a pharmaceutically acceptable salt thereof, or a hydrate thereof:

wherein

Ar1 is an aryl group,

Ar2 is a pyridazinyl group, pyrimidinyl group, pyrazinyl group, furyl group, thienyl group, pyrrolyl group, isoxazolyl group, oxazolyl group, isothiazolyl group, pyrazolyl group, imidazolyl group, benzofuranyl group, benzothienyl group, indolyl group, isoindolyl group, benzoxazolyl group, benzthiazolyl group, benzimidazolyl group, indazolyl group, benzisoxazolyl group, benzisothiazolyl group, quinolyl group, isoquinolyl group, cinnolinyl group, phthalazinyl group, quinazolinyl group or quinoxalinyl group,

X is an oxygen atom or a sulfur atom,

n is 0,

R1-R3 are each independently a hydrogen atom or a C 1-6 alkyl group,

R4-R8 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 penfluoroalkyl group, a hydroxyl group, a alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a formylamino group, a C 1-6 alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 2-6 aryl-carbonylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a phenyl group, or a naphthyl group,

R9-R13 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a formylamino group, a C 1-6 alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 2-6 aryl-carbonylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a C 1-6 alkoxy group substituted by one or more amino groups, or a alkoxy group substituted by one or more hydroxy groups, and

A is a hydrogen atom, a C 1-6 alkyl group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a C 1-6 alkyl group substituted by one or more carboxyl groups, a alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups, or a group represented by the formula (II):

wherein

Ar3 is an aryl group, a heteroaryl group, or a nonaromatic heterocyclic group,

Y is —O—, —CH 2 —, —NR19-, —S—, —S(O)—, —SO 2 —, —NR19SO 2 —, —SO 2 NR19-, —C(O)NR19-, —NR19C(O)—, —NR19C(O)O 1 —or —OC(O)NR19-,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom or a C 1-6 alkyl group,

s is an integer of 1 or 2,

t is an integer of 0-2,

R14-R18 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1 -C 6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a formylamino group, a C 1-6 alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 6-12 aryl-carbonylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a C 1 -C 6 alkoxy group substituted by one or more amino groups, a C 1-6 alkoxy group substituted by one or more hydroxy groups, a C 3-8 cycloalkyl group, a nonaromatic heterocyclic group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a C 1-6 alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, or a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups, and

R19 is hydrogen atom or a C 1-6 alkyl group, provided that:

(1) when Ar2 is a bicyclic heteroaryl containing at least one nitrogen atom, then A is a group other than a hydrogen atom, and

(2) the following compounds (X-1)-(X-7) are excluded

2. An ether compound represented by formula (I), a pharmaceutically acceptable salt thereof, or a hydrate thereof:

wherein

Ar1 is a phenyl group,

Ar2 is a pyridazinyl group, pyrimidinyl group, pyrazinyl group, furyl group, thienyl group, pyrrolyl group, isoxazolyl group, oxazolyl group, isothiazolyl group, pyrazolyl group, imidazolyl group, benzofuranyl group, benzothienyl group, indolyl group, isoindolyl group, benzoxazolyl group, benzthiazolyl group, benzimidazolyl group, indazolyl group, benzisoxazolyl group, benzisothiazolyl group, quinolyl group, isoquinolyl group, cinnolinyl group, phthalazinyl group, quinazolinyl group or quinoxalinyl group,

X is an oxygen atom or a sulfur atom,

n is 0,

R1-R3 are each independently a hydrogen atom or a C 1-6 alkyl group,

R4-R8 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a C 1-6 acylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a phenyl group or a naphthyl group,

R9-R13 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 pertluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a C 1-6 acylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a C 1-6 alkoxy group substituted by one or more amino groups, or a C 1-6 alkoxy group substituted by one or more hydroxy groups, and

A is a hydrogen atom, a C 1-6 alkyl group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a C 1-6 alkyl group substituted by one or more carboxyl groups, a C 1-6 alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups, or a group represented by formula (II):

wherein

Ar3 is a phenyl group, a naphthyl group, a heteroaryl group, an indolinyl group, or an isoindolinyl group,

Y is —O—, —CH 2 —, —NR19-, —S—, —S(O)—, —SO 2 —, —NR19SO 2 —, —SO 2 NR19—, —C(O)NR19-, —NR19C(O)—, —NR19C(O)O—, or —OC(O)NR19-,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom or a C 1-6 alkyl group,

s is an integer of 1 or 2,

t is an integer of 0-2,

R14-R18 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a C 1-6 acylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a C 1-6 , alkoxy group substituted by one or more amino groups, a C 1-6 alkoxy group substituted by one or more hydroxy groups, a C 3-8 cycloalkyl group, a nonaromatic heterocyclic group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a C 1-6 alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, or a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups, and

R19 is a hydrogen atom or a C 1-6 alkyl group, provided that:

(1) when Ar2 is a bicyclic heteroaryl containing at least one nitrogen atom, then A is a group other than a hydrogen atom, and

(2) the following compounds (X-1)-(X-7) are excluded:

3. The ether compound of claim 1 , having formula (I), wherein

A is a hydrogen atom,

Ar1 is a phenyl group,

X is an oxygen atom,

n is 0, and

R1-R3 are each independently a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

4. The ether compound of claim 1 , having formula (I), wherein

A is a group represented by formula (II):

Ar3 is a phenyl group, a naphthyl group, a heteroaryl group, an indolinyl group, or an isoindolinyl group,

Y is —O—, —CH 2 —, —NR19-, —S—, —S(O)—, —SO 2 —, —NR19SO 2 —, —SO 2 NR19-, —C(O)NR 19-, —NR 19C(O)—, —NR19C(O)O—, or —OC(O)NR19-,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom or a C 1-6 alkyl group,

s is an integer of 1 or 2,

t is an integer of 0-2,

R14-R18 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a C 1-6 acylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a alkoxy group substituted by one or more amino groups, a C 1-6 alkoxy group substituted by one or more hydroxy groups, a C 3-8 cycloalkyl group, a nonaromatic heterocyclic group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a C 1-6 alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 , alkyl group, or a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups,

Ar1 is a phenyl group,

X is an oxygen atom,

n is 0, and

R1-R3 are each independently a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

5. The ether compound of claim 1 , having formula (I), wherein

A is a group represented by formula (II)

Ar3 is a phenyl group, a naphthyl group, a heteroaryl group, an indolinyl group, or an isoindolinyl group,

Y is —O—, —CH 2 —, —NR19-, —S—, —S(O)—, —SO 2 —, —NR19SO 2 —, —SO 2 NR19-, —C(O)NR19-, —NR19C(O)—, —NR19C(O)O—, or —OC(O)NR19-,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom or a C 1-6 alkyl group,

s is an integer of 1 or 2,

t is an integer of 0-2,

R14-R18 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 , alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a C 1-6 acylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a alkoxy group substituted by one or more amino groups, a C 1-6 alkoxy group substituted by one or more hydroxy groups, a C 3-8 cycloalkyl group, a nonaromatic heterocyclic group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a C 1-6 alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, or a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups,

Ar1 is a phenyl group,

Ar2 is a quinolyl group, an isoquinolyl group, an indolyl group, or an isoindolyl group,

X is an oxygen atom,

n is 0,

R1-R3 are each independently a hydrogen atom,

Ar3 is a phenyl group or a pynidyl group,

Y is —O—, —SO 2 —, or —NHC(O)—,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom,

s is 1,

t is 0 or 1, and

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

6. An ether compound represented by formula (III), a pharmaceutically acceptable salt thereof, or a hydrate thereof:

wherein

Ar4 is an aryl group or a heteroaryl group,

X′ is an oxygen atom, a sulfur atom, N—CN, or N—OH,

V1 is a nitrogen atom, N→O, or CR9′,

V2 is a nitrogen atom, N→O, or CR10′,

V3 is a nitrogen atom or CR11′,

V4 is a nitrogen atom or CR12′,

V5 is NRc or CReRe′,

V6 is NRd or CRfRf′,

m is an integer of 1-3,

R1′-R3′ are each independently a hydrogen atom or a C 1-6 alkyl group and when m is

2 or 3, and R2′ and R3′ present in plurality each R2′ and R3′ may be the same or different,

R4′-R15′ are each independently a hydrogen atom, a halogen atom, a hydroxy group, a cyano group, a nitro group, a carboxyl group, a C 1-6 alkyl group optionally having one or more substituents, a C 2-6 alkenyl group optionally having one or more substituents, a alkynyl group optionally having one or more substituents, a C 3-8 cyclic alkyl group which optionally contains one or more hetero atoms in the ring, an aryl group optionally having one or more substituents, a heteroaryl group optionally having one or more substituents, a C 1-6 alkyl group substituted by one or more aryl groups optionally having one or more substituents, a C 1-6 , alkyl group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 , alkoxy group optionally having one or more substituents, a C 1-6 alkylthio group optionally having one or more substituents, a C 1-6 alkoxy group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 , alkylthio group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 , alkoxy group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 3-8 cyclic alkyloxy group which optionally contains one or more hetero atoms in the ring, an aryloxy group optionally having one or more substituents, a heteroaryloxy group optionally having one or more substituents, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a carbamoyl group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a sulfamoyl group, a sulfamoyl group monosubstituted by a C 1-6 , alkyl group, a sulfamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 , alkanoyl group, a C 7-12 aroyl group optionally having one or more substituents, a C 1-6 alkylsulfonylamino group, an arylsulfonylamino group optionally having one or more substituents, a heteroarylsulfonylamino group optionally having one or more substituents, a formylamino group, a C 1-6 , alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 6-12 aryl-carbonylamino group, a C 1-6 , perfluoroalkyl-carbonylamino group, a perfluoroalkenyl-carbonylamino group, a C 6-12 perfluoroaryl-carbonylamino group, a C 1-6 alkylsulfonyl group, or a C 1-6 alkylsulfinyl group, or

of R4′, R5′, R6′, R7′ and R8′, those bonded to adjacent carbon atoms are optionally bonded to each other to form, together with the constituent carbon atoms of Ar4, a saturated or unsaturated ring, wherein the ring formed optionally contains one or more hetero atoms,

A′ is a hydrogen atom, a halogen atom, a hydroxy group, a cyano group, a nitro group, a carboxyl group, a C 1-6 alkyl group optionally having one or more substituents, a alkenyl group optionally having one or more substituents, a C 2-6 alkynyl group optionally having one or more substituents, a C 3-8 cyclic alkyl group which optionally contains one or more hetero atoms in the ring, an aryl group optionally having one or more substituents, a heteroaryl group optionally having one or more substituents, a C 1-6 alkyl group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkyl group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkoxy group optionally having one or more substituents, a C 1-6 alkylthio group optionally having one or more substituents, a C 1-6 alkoxy group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkoxy group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 3-8 cyclic alkyloxy group which optionally contains one or more hetero atoms in the ring, an aryloxy group optionally having one or more substituents, a heteroaryloxy group optionally having one or more substituents, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a carbamoyl group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a sulfamoyl group, a sulfamoyl group monosubstituted by a C 1-6 alkyl group, a sulfamoyl group disubstituted by C 1-6 , alkyl groups, a C 1-6 alkanoyl group optionally having one or more substituents, a C 7-12 aroyl group optionally having one or more substituents, a C 1-6 alkylsulfonylamino group, an arylsulfonylamino group optionally having one or more substituents, a heteroarylsulfonylamino group optionally having one or more substituents, a formylamino group, a C 1-6 alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 1-6 aryl-carbonylamino group, a C 1-6 alkylsulfonyl group, a alkylsulfinyl group, or a group represented by the formula (II):

wherein

Ar3 is an aryl group, a heteroaryl group, or a nonaromatic heterocyclic group,

Y is —O—, —CH 2 —, —NR19-, —S—, —S(O)—, —SO 2 —, —NR19SO 2 —,

—SO 2 NR19-, —C(O)NR19-, —NR19C(O)—, —NR19C(O)O— or —OC(O)NR19-,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom or a C 1-6 alkyl group,

s is an integer of 1 or 2,

t is an integer of 0-2,

R14-R18 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkylthio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkylsulfonylamino group, a formylamino group, a C 1-6 alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 7-12 aryl-carbonylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a C 1-6 alkoxy group substituted by one or more amino groups, a C 1-6 alkoxy group substituted by one or more hydroxy groups, a C 3-8 cycloalkyl group, a nonaromatic heterocyclic group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a C 1-6 alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, or a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups, and

R19 is hydrogen atom or a C 1-6 , alkyl group, and

Rc, Rd, Re, Re′, Rf and Rf′ are each independently a hydrogen atom or a C 1-6 alkyl group, provided that:

(1) when at least one of V1, V2, V3, and V4 is a nitrogen atom, then at least one of R1′, R2′, R3′, and A′ is a group other than a hydrogen atom, and

(2) the following compounds (X-5) and (X-7) are excluded:

7. An ether compound represented by formula (III), a pharmaceutically acceptable salt thereof, or a hydrate thereof:

wherein

Ar4 is a phenyl group, a naphthyl group, or a heteroaryl group,

X′ is an oxygen atom, a sulfur atom, N—CN, or N—OH,

V1 is a nitrogen atom, N→O, or CR9′,

V2 is a nitrogen atom, N→O, or CR10′,

V3 is a nitrogen atom or CR11′,

V4 is a nitrogen atom or CR12′,

V5 is NRc or CReRe′,

V6 is NRd or CRfRf′,

m is an integer of 1-3,

R1′-R3′ are each independently a hydrogen atom or a C 1-6 alkyl group and when m is 2 or 3, and R2′ or R3′ are present in multiplicity each of R2′ or R3′ maybe the same or different,

R4′-R15′ are each independently a hydrogen atom, a halogen atom, a hydroxy group, a cyano group, a nitro group, a carboxyl group, a C 1-6 alkyl group optionally having one or more substituents, a C 2-6 alkenyl group optionally having one or more substituents, a C 2-6 alkynyl group optionally having one or more substituents, a C 3-8 cyclic alkyl group which optionally contains one or more hetero atoms in the ring, an aryl group optionally having one or more substituents, a heteroaryl group optionally having one or more substituents, a C 1-6 , alkyl group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 , alkyl group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkoxy group optionally having one or more substituents, a C 1-6 alkylthio group optionally having one or more substituents, a C 1-6 alkoxy group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkoxy group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 3-8 cyclic alkyloxy group which optionally contains one or more hetero atoms in the ring, an aryloxy group optionally having one or more substituents, a heteroaryloxy group optionally having one or more substituents, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a carbamoyl group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a sulfamoyl group, a sulfamoyl group monosubstituted by a C 1-6 alkyl group, a sulfamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkanoyl group, a C 7-12 aroyl group optionally having one or more substituents, a C 1-6 alkylsulfonylamino group, an arylsulfonylamino group optionally having one or more substituents, a heteroarylsulfonylamino group optionally having one or more substituents, a C 1-6 acylamino group, a C 2-6 perfluoroacylamino group, a C 1-6 , alkylsulfonyl group, or a C 1-6 alkylsulfinyl group, or

of R4′, R5′, R6′, R7′ and R8′, those bonded to adjacent carbon atoms are optionally bonded to each other to form, together with the constituent carbon atoms of Ar4, a saturated or unsaturated ring, wherein the ring formed optionally contains one or more hetero atoms,

A′ is a hydrogen atom, a halogen atom, a hydroxy group, a cyano group, a nitro group, a carboxyl group, a C 1-6 , alkyl group optionally having one or more substituents, a alkenyl group optionally having one or more substituents, a C 2-6 alkynyl group optionally having one or more substituents, a C 3-8 cyclic alkyl group which optionally contains one or more hetero atoms in the ring, an aryl group optionally having one or more substituents, a heteroaryl group optionally having one or more substituents, a C 1-6 alkyl group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkyl group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkoxy group optionally having one or more substituents, a C 1-6 , alkylthio group optionally having one or more substituents, a C 1-6 , alkoxy group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more aryl groups which optionally have one or more substituents, a C 1-6 alkoxy group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 1-6 alkylthio group substituted by one or more heteroaryl groups which optionally have one or more substituents, a C 3-8 cyclic alkyloxy group which optionally contains one or more hetero atoms in the ring, an aryloxy group optionally having one or more substituents, a heteroaryloxy group optionally having one or more substituents, an amino group, an amino group monosubstituted by a C 1-6 alkyl group, an amino group disubstituted by C 1-6 , alkyl groups, a C 1-6 alkoxy-carbonyl group, a carbamoyl group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a sulfamoyl group, a sulfamoyl group monosubstituted by a C 1-6 alkyl group, a sulfamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkanoyl group, a aroyl group optionally having one or more substituents, a C 1-6 , alkylsulfonylamino group, an arylsulfonylamino group optionally having one or more substituents, a heteroarylsulfonylamino group optionally having one or more substituents, a C 1-6 acylamino group, a C 1-6 alkylsulfonyl group, a C 1-6 alkylsulfinyl group, or a group represented by the formula (II):

wherein

Ar3 is an aryl group, a heteroaryl group, or a nonaromatic heterocyclic group,

Y is —O—, —CH 2 —, —NR19-, —S—, —S(O)—, —SO 2 —, —NR19SO 2 —,

—SO 2 NR19-, —C(O)NR19-, —NR19C(O)—, —NR19C(O)O— or —OC(O)NR19-,

Ra, Ra′, Rb and Rb′ are each independently a hydrogen atom or a C 1-6 alkyl group,

s is an integer of 1 or 2,

t is an integer of 0-2,

R14-R18 are each independently a hydrogen atom, a halogen atom, a C 1-6 alkyl group, a C 2-6 alkenyl group, a C 2-6 alkynyl group, a C 1-3 perfluoroalkyl group, a hydroxyl group, a C 1-6 alkyhhio group, a C 1-6 alkylsulfinyl group, a C 1-6 alkylsulfonyl group, a C 1-6 alkoxy group, a C 1-3 perfluoroalkoxy group, a cyano group, a nitro group, a C 1-6 , alkyl-carbonyl group, an amino group, an amino group monosubstituted by a C 1-6 , alkyl group, an amino group disubstituted by C 1-6 alkyl groups, a C 1-6 , alkylsulfonylamino group, a formylamino group, a C 1-6 alkyl-carbonylamino group, a C 2-6 alkenyl-carbonylamino group, a C 7-12 aryl-carbonylamino group, a C 1-6 alkyl group substituted by one or more hydroxy groups, a carboxyl group, a C 1-6 alkoxy group substituted by one or more amino groups, a C 1-6 alkoxy group substituted by one or more hydroxy groups, a C 3-8 cycloalkyl group, a nonaromatic heterocyclic group, a carbamoyl group monosubstituted by a C 1-6 alkyl group, a carbamoyl group disubstituted by C 1-6 alkyl groups, a C 1-6 alkoxy-carbonyl group, a C 1-6 -, alkyl group substituted by one or more amino groups, a C 1-6 alkyl group substituted by one or more amino groups which are monosubstituted by a C 1-6 alkyl group, or a C 1-6 alkyl group substituted by one or more amino groups which are disubstituted by C 1-6 alkyl groups, and

R19 is hydrogen atom or a C 1-6 alkyl group, and

Rc, Rd, Re, Re′, Rf and Rf′ are each independently a hydrogen atom or a C 1-6 alkyl group, provided that:

(1) when at least one of V1, V2, V3, and V4 is a nitrogen atom, then at least one of R1′, R2′, R3′, and A′ is a group other than a hydrogen atom, and

(2) the following compounds (X-5) and (X-7) are excluded:

8. The ether compound of claim 6 , having formula (III), wherein

m is 1, and

V5 and V6 are each NH,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

9. The ether compound of claim 8 , having formula (III), wherein

X′ is an oxygen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

10. The ether compound of claim 8 , having formula (III), wherein

VI is CR9′,

V2 is a nitrogen atom or N→O,

V3 is CR11′, and

V4 is CR12′,

a pharmaceutically acceptable salt thereof or a hydrate thereof.

11. The ether compound of claim 8 , having formula (III), wherein

V1 is CR9′,

V2 is CR10′,

V3 is C—OH, and

V4 is CR12′,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

12. The ether compound of claim 8 , having formula (III), wherein

A′ is a hydrogen atom or a C 1-6 , alkyl group optionally having one or more substituents, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

13. The ether compound of claim 8 , having formula (III), wherein

Ar4 is a phenyl group, a naphthyl group, a pyridyl group, a quinolyl group, an isoquinolyl group, or a pyrimidinyl group, and R4′, R5′, R6′, R7′, and R8′ are each independently a hydrogen atom, a C 1-6 alkyl group, a halogen atom, a C 1-6 alkoxy group, a C 1-6 alkylthio group, a trifluoromethyl group, an aryl group, a cyano group, a nitro group, an amino group or an amino group mono- or di-substituted by C 1-6 alkyl group(s), or

of R4′, R5′, R6′, R7′, and R8′, those bonded to adjacent carbon atoms are bonded to each other to form, together with the constituent carbon atoms of Ar4, an unsaturated ring which optionally contains one or more hetero atoms in the ring,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

14. The ether compound of claim 10 , having formula (III), wherein

X′ is an oxygen atom,

A′ is a C 1-6 alkyl group optionally having one or more substituents, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

15. The ether compound of claim 11 , having formula (III), wherein

X′ is an oxygen atom,

A′ is a hydrogen atom or a C 1-6 alkyl group optionally having one or more substituents, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

16. The ether compound of claim 10 , having formula (III), wherein

X′ is an oxygen atom,

Ar4 is a phenyl group, a naphthyl group, a pyridyl group, a quinolyl group, an isoquinolyl group, or a pyrimidinyl group, and

R4′, R5′, R6′, R7′, and R8′ are each independently a hydrogen atom, a C 1-6 alkyl group, a halogen atom, a C 1-6 alkoxy group, a C 1-6 alkylthio group, a trifluoromethyl group, an aryl group, a cyano group, a nitro group, an amino group or an amino group mono- or di-substituted by C 1-6 alkyl group(s), or

of R4′, R5′, R6′, R7′, and R8′, those bonded to adjacent carbon atoms are bonded to each other to form, together with the constituent carbon atoms of Ar4, an unsaturated ring which optionally contains one or more hetero atoms in the ring,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

17. The ether compound of claim 11 , having formula (III), wherein

X′ is an oxygen atom,

Ar4 is a phenyl group, a naphthyl group, a pyridyl group, a quinolyl group, an isoquinolyl group, or a pyrimidinyl group, and

R4′, R5′, R6′, R7′, and R8′ are each independently a hydrogen atom, a C 1-6 alkyl group, a halogen atom, a C 1-6 alkoxy group, a C 1-6 alkylthio group, a trifluoromethyl group, an aryl group, a cyano group, a nitro group, an amino group or an amino group mono- or di-substituted by C 1-6 alkyl group(s), or

of R4′, R5′, R6′, R7′ and R8′, those bonded to adjacent carbon atoms are bonded to each other to form, together with the constituent carbon atoms of Ar4, an unsaturated ring which optionally contains one or more hetero atoms in the ring,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

18. The ether compound of claim 9 , having formula (III), wherein

V1 is CH,

V2 is a nitrogen atom or N→O,

V3 is CH,

V4 is CH,

A′ is a C 1-6 alkyl group optionally having one or more substituents, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

19. The ether compound of claim 9 , having formula (III), wherein

V1 is CH,

V2 is CH,

V3 is C—OH,

V4 is CH,

A′ is a hydrogen atom, or a C 1-6 alkyl group optionally having one or more substituents, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

20. The ether compound of claim 9 , having formula (III), wherein

Ar4 is a phenyl group,

R4′, R5′, R6′, R7′, and R8′ are each independently a hydrogen atom, a C 1-6 alkyl group, or a halogen atom, or

of R4′, R5′, R6′, R7′ and R8′, those bonded to adjacent carbon atoms are bonded to each other to form, together with Ar4, a tetrahydronaphthalene ring or an indan ring,

V1 is CH,

V2 is a nitrogen atom or N→O,

V3 is CH,

V4 is CH,

A′ is a C 1-6 alkyl group, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

21. The ether compound of claim 9 , having formula (III), wherein

Ar4 is a phenyl group,

R4′, R5′, R6′, R7′, and R8′ are each independently a hydrogen atom, a C 1-6 alkyl group, or a halogen atom, or

of R4′, R5′, R6′, R7′, and R8′, those bonded to adjacent carbon atoms are bonded to each other to form, together with Ar4, a tetrahydronaphthalene ring or an indan ring,

V1 is CH,

V2 is CH,

V3 is C—OH,

V4 is CH,

A′ is a hydrogen atom or a C 1-6 alkyl group, and

R1′, R2′, and R3′ are each a hydrogen atom,

a pharmaceutically acceptable salt thereof, or a hydrate thereof.

22. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

23. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

24. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

25. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof or a hydrate thereof.

26. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

27. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

28. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

29. The ether compound of claim 9 , which is represented by the formula

or a pharmaceutically acceptable salt thereof, or a hydrate thereof.

30. A pharmaceutical composition, comprising an ether compound of claim 1 , a pharmaceutically acceptable salt thereof, or a hydrate thereof, and a pharmaceutically acceptable carrier.

31. A method of treating inflammation or pain, comprising administering an effective amount of a compound according to claim 1 to a subject in need thereof.

32. A method of treating inflammatory bowel disease, comprising administering an effective amount of a compound according to claim 1 to a subject in need thereof.

33. A method of treating pollakiuria and/or incontinentia, comprising administering an effective amount of a compound according to claim 1 to a subject in need thereof.

34. A method of treating asthma, comprising administering an effective amount of a compound according to claim 1 to a subject in need thereof.

35. A package, comprising a pharmaceutical composition comprising an ether compound of claim 1 , a pharmaceutically acceptable salt thereof, or a hydrate thereof, and a written matter describing a use of said pharmaceutical composition.

36. A pharmaceutical composition comprising an ether compound of claim 6 , a pharmaceutically acceptable salt thereof, or a hydrate thereof, and a pharmaceutically acceptable carrier.

37. A method of treating inflammation or pain, comprising administering an effective amount of a compound according to claim 6 to a subject in need thereof.

38. A method of treating inflammatory bowel disease, comprising administering an effective amount of a compound according to claim 6 to a subject in need thereof.

39. A method of treating pollakiuria and/or incontinentia, comprising administering an effective amount of a compound according to claim 6 to a subject in need thereof.

40. A method of treating asthma, comprising administering an effective amount of a compound according to claim 6 to a subject in need thereof.

41. A package comprising a pharmaceutical composition comprising an ether compound of claim 6 , a pharmaceutically acceptable salt thereof, or a hydrate thereof, and a written matter describing a use of said pharmaceutical composition.