CSpace
Characterization of Clifford-valued Hardy spaces and compensated compactness
Peng, LZ; Zhao, JM
2004
Source PublicationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9939
Volume132Issue:1Pages:47-58
AbstractIn 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.
KeywordClifford algebra Cauchy-Riemann operator Hardy space compensated compactness paracommutator
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000185589600006
PublisherAMER MATHEMATICAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19460
Collection中国科学院数学与系统科学研究院
Corresponding AuthorPeng, LZ
Affiliation1.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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