Characterization of Clifford-valued Hardy spaces and compensated compactness

	Characterization of Clifford-valued Hardy spaces and compensated compactness
	Peng, LZ ; Zhao, JM
刊名	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
	2004
卷号	132 期号:1 页码:47-58
关键词	Clifford algebra Cauchy-Riemann operator Hardy space compensated compactness paracommutator
ISSN号	0002-9939
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000185589600006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19459]
专题	中国科学院数学与系统科学研究院
通讯作者	Peng, LZ
作者单位	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
推荐引用方式 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.