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	The log-Sobolev inequality on loop space over a compact Riemannian manifold
	Gong, FZ ; Ma, ZM
	1998
关键词	PINNED BROWNIAN-MOTION PATH SPACES
英文摘要	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.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000075715900011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 15; ARTICLE; 2; 599-623; 157
语种	英语
出处	SCI
出版者	journal of functional analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/257831]
专题	数学科学学院
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. 1998-01-01.

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