The log-Sobolev inequality on loop space over a compact Riemannian manifold

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	The log-Sobolev inequality on loop space over a compact Riemannian manifold
	Gong, FZ; Ma, ZM
	1998-08-20
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	157 期号:2 页码:599-623
摘要	We 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.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000075715900011
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13914
专题	应用数学研究所
通讯作者	Gong, FZ
作者单位	1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Beijing Univ, Dept Math, Beijing 100871, Peoples R China
推荐引用方式 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.