Martingale representation and log-Sobolev inequality on loop space

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	Martingale representation and log-Sobolev inequality on loop space
	Gong, FZ; Ma, ZM
	1998-03-01
发表期刊	COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN	0764-4442
卷号	326 期号:6 页码:749-753
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.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000073622800019
出版者	EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13374
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.Peking Univ, Dept Math, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Gong, FZ,Ma, ZM. Martingale representation and log-Sobolev inequality on loop space[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE,1998,326(6):749-753.
APA	Gong, FZ,&Ma, ZM.(1998).Martingale representation and log-Sobolev inequality on loop space.COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE,326(6),749-753.
MLA	Gong, FZ,et al."Martingale representation and log-Sobolev inequality on loop space".COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 326.6(1998):749-753.