CSpace  > 应用数学研究所
The log-Sobolev inequality on loop space over a compact Riemannian manifold
Gong, FZ; Ma, ZM
1998-08-20
Source PublicationJOURNAL OF FUNCTIONAL ANALYSIS
ISSN0022-1236
Volume157Issue:2Pages:599-623
AbstractWe obtain a log-Sobolev inequality with a neat a:ld explicit potential for the gradient on a based loop space over a compact Riemannian manifold. The potential term relies only on the curvature of the manifold and the Hessian of the heat kernel, and is L-p-integrable for all p greater than or equal to 1. The log-Sobolev inequality is derived by a martingale representation theorem for the differentiable functions on loop space, which is a variation of the Clark-Ocone-Haussmann formula. (C) 1998 Academic Press.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000075715900011
PublisherACADEMIC PRESS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13914
Collection应用数学研究所
Corresponding AuthorGong, FZ
Affiliation1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
2.Beijing Univ, Dept Math, Beijing 100871, Peoples R China
Recommended Citation
GB/T 7714
Gong, FZ,Ma, ZM. The log-Sobolev inequality on loop space over a compact Riemannian manifold[J]. JOURNAL OF FUNCTIONAL ANALYSIS,1998,157(2):599-623.
APA Gong, FZ,&Ma, ZM.(1998).The log-Sobolev inequality on loop space over a compact Riemannian manifold.JOURNAL OF FUNCTIONAL ANALYSIS,157(2),599-623.
MLA Gong, FZ,et al."The log-Sobolev inequality on loop space over a compact Riemannian manifold".JOURNAL OF FUNCTIONAL ANALYSIS 157.2(1998):599-623.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Gong, FZ]'s Articles
[Ma, ZM]'s Articles
Baidu academic
Similar articles in Baidu academic
[Gong, FZ]'s Articles
[Ma, ZM]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Gong, FZ]'s Articles
[Ma, ZM]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.