Characterization of Clifford-valued Hardy spaces and compensated compactness
文献类型：期刊论文
| 作者 | Peng, LZ; Zhao, JM |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000185589600006 |
| 出版者 | AMER MATHEMATICAL SOC |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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