Transport equations and quasi-invariant flows on the Wiener space

doi:10.1016/j.bulsci.2009.01.001

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	Transport equations and quasi-invariant flows on the Wiener space
	Fang, Shizan 1; Luo, Dejun2
	2010-04-01
发表期刊	BULLETIN DES SCIENCES MATHEMATIQUES
ISSN	0007-4497
卷号	134 期号:3 页码:295-328
摘要	We shall investigate on vector fields of low regularity on the Wiener space, with divergence having low exponential integrability. We prove that the vector field generates a flow of quasi-invariant measurable maps with density belonging to the space L log L. An explicit expression for the density is also given. (C) 2009 Elsevier Masson SAS. All rights reserved.
关键词	Wiener space Transport equations Commutator estimate Quasi-invariant Rows Malliavin calculus
DOI	10.1016/j.bulsci.2009.01.001
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000276938900005
出版者	GAUTHIER-VILLARS/EDITIONS 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/30623
专题	应用数学研究所
通讯作者	Fang, Shizan
作者单位	1.Univ Bourgogne, IMB, Dijon, France 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Fang, Shizan,Luo, Dejun. Transport equations and quasi-invariant flows on the Wiener space[J]. BULLETIN DES SCIENCES MATHEMATIQUES,2010,134(3):295-328.
APA	Fang, Shizan,&Luo, Dejun.(2010).Transport equations and quasi-invariant flows on the Wiener space.BULLETIN DES SCIENCES MATHEMATIQUES,134(3),295-328.
MLA	Fang, Shizan,et al."Transport equations and quasi-invariant flows on the Wiener space".BULLETIN DES SCIENCES MATHEMATIQUES 134.3(2010):295-328.