Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces
文献类型：期刊论文
| 作者 | Gong, FZ
|
| 刊名 | INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
 |
| 出版日期 | 2002-12-01 |
| 卷号 | 5期号:4页码:541-553 |
| 关键词 | exponential integrability Ornstein-Uhlenbeck operators loop spaces |
| ISSN号 | 0219-0257 |
| 英文摘要 | Let E be the loop space over a compact connected Riemannian manifold with a torsion skew symmetric (TSS) connection. Let L be the Ornstein-Uhlenbeck (O-U) operator on the loop space E, and f be a cylinder function on E. We first extend the expression of Lf, proved by Enchev and Stroock for the Levi-Civita connection, to a general TSS connection, and then prove that if f is an element of D(L), epsilon\Lf\(2) is exponential integrable for some constant epsilon := epsilon(f) > 0. |
| 语种 | 英语 |
| WOS记录号 | WOS:000180979000005 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17435]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Gong, FZ |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gong, FZ. Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,2002,5(4):541-553. |
| APA | Gong, FZ.(2002).Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,5(4),541-553. |
| MLA | Gong, FZ."Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces".INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 5.4(2002):541-553. |
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。