On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds
文献类型：期刊论文
| 作者 | Li, Xiang-Dong1,2,3
|
| 刊名 | PROBABILITY THEORY AND RELATED FIELDS
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 150期号:1-2页码:111-144 |
| 关键词 | Beurling-Ahlfors transforms Hodge decomposition Martingale representation formula Weitzenbck curvature |
| ISSN号 | 0178-8051 |
| DOI | 10.1007/s00440-010-0270-2 |
| 英文摘要 | Based on a new martingale representation formula, we prove some quantitative upper bound estimates of the L (p) -norm of some singular integral operators on complete Riemannian manifolds. This leads us to establish the Weak L (p) -Hodge decomposition theorem and to prove the L (p) -boundedness of the Beurling-Ahlfors transforms on complete non-compact Riemannian manifolds with non-negative Weitzenbock curvature operator. |
| 语种 | 英语 |
| WOS记录号 | WOS:000290725200005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12142]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Li, Xiang-Dong |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Univ Toulouse 3, Inst Math, F-31062 Toulouse 9, France |
| 推荐引用方式 GB/T 7714 | Li, Xiang-Dong. On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds[J]. PROBABILITY THEORY AND RELATED FIELDS,2011,150(1-2):111-144. |
| APA | Li, Xiang-Dong.(2011).On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds.PROBABILITY THEORY AND RELATED FIELDS,150(1-2),111-144. |
| MLA | Li, Xiang-Dong."On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds".PROBABILITY THEORY AND RELATED FIELDS 150.1-2(2011):111-144. |
入库方式： OAI收割
来源：数学与系统科学研究院
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