KMS Of Academy of mathematics and systems sciences, CAS
Characterization of Clifford-valued Hardy spaces and compensated compactness | |
Peng, LZ; Zhao, JM | |
2004 | |
Source Publication | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
ISSN | 0002-9939 |
Volume | 132Issue:1Pages:47-58 |
Abstract | In this paper, the general Clifford R-n,R-s-valued Hardy spaces and conjugate Hardy spaces are characterized. In particular, each function in R-n-valued Hardy space can be determined by half of its function components through Riesz transform, and the explicit determining formulas are given. The products of two functions in the Hardy space give six kinds of compensated quantities, which correspond to six paracommutators, and their boundedness, compactness and Schatten-von Neumann properties are given. |
Keyword | Clifford algebra Cauchy-Riemann operator Hardy space compensated compactness paracommutator |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000185589600006 |
Publisher | AMER MATHEMATICAL SOC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19460 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Peng, LZ |
Affiliation | 1.Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China 2.Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Peng, LZ,Zhao, JM. Characterization of Clifford-valued Hardy spaces and compensated compactness[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2004,132(1):47-58. |
APA | Peng, LZ,&Zhao, JM.(2004).Characterization of Clifford-valued Hardy spaces and compensated compactness.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,132(1),47-58. |
MLA | Peng, LZ,et al."Characterization of Clifford-valued Hardy spaces and compensated compactness".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 132.1(2004):47-58. |
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