Riesz transforms on forms and L-P-Hodge decomposition on complete Riemannian manifolds
文献类型：期刊论文
| 作者 | Li, Xiang-Dong1,2,3
|
| 刊名 | REVISTA MATEMATICA IBEROAMERICANA
 |
| 出版日期 | 2010 |
| 卷号 | 26期号:2页码:481-528 |
| 关键词 | Hodge decomposition martingale transforms Riesz transforms Weitzenbock curvature |
| ISSN号 | 0213-2230 |
| 英文摘要 | In this paper we prove the Strong LP-stability of the heat semi-group generated by the Hodge Laplacian on complete Riemannian manifolds with non-negative Weitzenbock curvature. Based on a probabilistic representation formula, we obtain an explicit upper bound of the L-p-norm of the Riesz transforms on forms on complete Riemannian manifolds with suitable curvature conditions. Moreover, we establish the Weak L-p-Hodge decomposition theorem on complete Riemannian manifolds with non-negative Weitzenbock curvature. |
| 语种 | 英语 |
| WOS记录号 | WOS:000280972000003 |
| 出版者 | EUROPEAN MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10762]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Li, Xiang-Dong |
| 作者单位 | 1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, 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. Riesz transforms on forms and L-P-Hodge decomposition on complete Riemannian manifolds[J]. REVISTA MATEMATICA IBEROAMERICANA,2010,26(2):481-528. |
| APA | Li, Xiang-Dong.(2010).Riesz transforms on forms and L-P-Hodge decomposition on complete Riemannian manifolds.REVISTA MATEMATICA IBEROAMERICANA,26(2),481-528. |
| MLA | Li, Xiang-Dong."Riesz transforms on forms and L-P-Hodge decomposition on complete Riemannian manifolds".REVISTA MATEMATICA IBEROAMERICANA 26.2(2010):481-528. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。