RADEMACHERS THEOREM FOR WIENER FUNCTIONALS
成果类型：
Article
署名作者：
ENCHEV, O; STROOCK, DW
署名单位：
Massachusetts Institute of Technology (MIT)
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176989392
发表日期：
1993
页码：
25-33
关键词：
摘要：
Given an R-valued, Borel measurable function F on an abstract Wiener space (E, H, mu), we show that F is uniformly Lipschitz continuous in the directions of H if and only if it has one derivative in the sense of Malliavin and that derivative is an element of L(infinity)(mu; H).