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Hardy-Sobolev Spaces Associated with Twisted Convolution
被引:2
作者
:
Huang, Jizheng
论文数:
0
引用数:
0
h-index:
0
机构:
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Huang, Jizheng
[
1
]
Li, Weiwei
论文数:
0
引用数:
0
h-index:
0
机构:
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Li, Weiwei
[
1
]
Wang, Yaqiong
论文数:
0
引用数:
0
h-index:
0
机构:
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Wang, Yaqiong
[
1
]
机构
:
[1]
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
来源
:
JOURNAL OF FUNCTION SPACES
|
2017年
/ 2017卷
基金
:
中国国家自然科学基金;
关键词
:
ATOMIC DECOMPOSITION;
LAPLACIAN;
D O I
:
10.1155/2017/5692746
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We first define the Hardy-Sobolev spaces associated with twisted convolution; then we give the atomic decomposition. As an application, we consider the endpoint version of the div-curl theorem for the twisted convolution.
引用
收藏
页数:7
相关论文
共 22 条
[1]
ANDERSON RFV, 1972, J FUNCT ANAL, V9, P423
[2]
Hardy!Sobolev spaces on strongly Lipschitz domains of Rn
Auscher, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Auscher, P
Russ, E
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Russ, E
Tchamitchian, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Tchamitchian, P
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2005,
218
(01)
: 54
-
109
[3]
Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in RN
Chang, DC
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math, College Pk, MD 20742 USA
Chang, DC
论文数:
引用数:
h-index:
机构:
Dafni, G
Stein, EM
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math, College Pk, MD 20742 USA
Stein, EM
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1999,
351
(04)
: 1605
-
1661
[4]
Atomic decomposition on Hardy-Sobolev spaces
Cho, Yong-Kum
论文数:
0
引用数:
0
h-index:
0
机构:
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Cho, Yong-Kum
Kim, Joonil
论文数:
0
引用数:
0
h-index:
0
机构:
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Kim, Joonil
[J].
STUDIA MATHEMATICA,
2006,
177
(01)
: 25
-
42
[5]
COIFMAN R, 1993, J MATH PURE APPL, V72, P247
[6]
DEVORE RA, 1984, MEMOIRS AM MATH SOC, V47
[7]
Fefferman C, 1972, ACTA MATH-DJURSHOLM, V129, P137, DOI 10.1007/BF02392215
[8]
LOCAL VERSION OF REAL HARDY SPACES
GOLDBERG, D
论文数:
0
引用数:
0
h-index:
0
机构:
Department Of Mathematical Sciences, Depaul University, Chicago, IL, 60614
GOLDBERG, D
[J].
DUKE MATHEMATICAL JOURNAL,
1979,
46
(01)
: 27
-
42
[9]
AN ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS AND QUANTUM MECHANICS IN PHASE SPACE
GROSSMANN, A
论文数:
0
引用数:
0
h-index:
0
GROSSMANN, A
LOUPIAS, G
论文数:
0
引用数:
0
h-index:
0
LOUPIAS, G
STEIN, EM
论文数:
0
引用数:
0
h-index:
0
STEIN, EM
[J].
ANNALES DE L INSTITUT FOURIER,
1968,
18
(02)
: 343
-
+
[10]
Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
Huang, Jizheng
论文数:
0
引用数:
0
h-index:
0
机构:
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Huang, Jizheng
Liu, Yu
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Liu, Yu
[J].
JOURNAL OF FUNCTION SPACES,
2014,
2014
←
1
2
3
→
共 22 条
[1]
ANDERSON RFV, 1972, J FUNCT ANAL, V9, P423
[2]
Hardy!Sobolev spaces on strongly Lipschitz domains of Rn
Auscher, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Auscher, P
Russ, E
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Russ, E
Tchamitchian, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
Tchamitchian, P
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2005,
218
(01)
: 54
-
109
[3]
Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in RN
Chang, DC
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math, College Pk, MD 20742 USA
Chang, DC
论文数:
引用数:
h-index:
机构:
Dafni, G
Stein, EM
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math, College Pk, MD 20742 USA
Stein, EM
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1999,
351
(04)
: 1605
-
1661
[4]
Atomic decomposition on Hardy-Sobolev spaces
Cho, Yong-Kum
论文数:
0
引用数:
0
h-index:
0
机构:
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Cho, Yong-Kum
Kim, Joonil
论文数:
0
引用数:
0
h-index:
0
机构:
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea
Kim, Joonil
[J].
STUDIA MATHEMATICA,
2006,
177
(01)
: 25
-
42
[5]
COIFMAN R, 1993, J MATH PURE APPL, V72, P247
[6]
DEVORE RA, 1984, MEMOIRS AM MATH SOC, V47
[7]
Fefferman C, 1972, ACTA MATH-DJURSHOLM, V129, P137, DOI 10.1007/BF02392215
[8]
LOCAL VERSION OF REAL HARDY SPACES
GOLDBERG, D
论文数:
0
引用数:
0
h-index:
0
机构:
Department Of Mathematical Sciences, Depaul University, Chicago, IL, 60614
GOLDBERG, D
[J].
DUKE MATHEMATICAL JOURNAL,
1979,
46
(01)
: 27
-
42
[9]
AN ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS AND QUANTUM MECHANICS IN PHASE SPACE
GROSSMANN, A
论文数:
0
引用数:
0
h-index:
0
GROSSMANN, A
LOUPIAS, G
论文数:
0
引用数:
0
h-index:
0
LOUPIAS, G
STEIN, EM
论文数:
0
引用数:
0
h-index:
0
STEIN, EM
[J].
ANNALES DE L INSTITUT FOURIER,
1968,
18
(02)
: 343
-
+
[10]
Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
Huang, Jizheng
论文数:
0
引用数:
0
h-index:
0
机构:
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Huang, Jizheng
Liu, Yu
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
Liu, Yu
[J].
JOURNAL OF FUNCTION SPACES,
2014,
2014
←
1
2
3
→