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	Martingale representation and log-Sobolev inequality on loop space
	Gong, FZ ; Ma, ZM
	1998
关键词	PINNED BROWNIAN-MOTION PATH SPACE
英文摘要	We obtain a martingale representation theorem for differentiable functions on loop space over a compact Riemannian manifold, which in turn yields a log-Sobolev inequality with a neat and explicit potential depending only on the curvature of the manifold and the Hessian of the heat kernel. Moreover, the potentiel term is L-p-integrable for all p greater than or equal to 1. (C) Academie des Sciences/Elsevier, Paris.; Mathematics; SCI(E); 3; ARTICLE; 6; 749-753; 326
语种	英语
出处	SCI
出版者	comptes rendus de l academie des sciences serie i mathematique
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/215897]
专题	数学科学学院
推荐引用方式 GB/T 7714	Gong, FZ,Ma, ZM. Martingale representation and log-Sobolev inequality on loop space. 1998-01-01.

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