Dirichlet spaces on H-convex sets in Wiener space

被引：11

作者：

Hino, Masanori ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Kyoto 6068501, Japan

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2011年 / 135卷 / 6-7期

关键词：

Dirichlet space; Convex set; Wiener space; RADEMACHERS THEOREM; BV FUNCTIONS; FORMS;

D O I：

10.1016/j.bulsci.2011.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the (1, 2)-Sobolev space W-1,W-2(U) on subsets U in an abstract Wiener space, which is regarded as a canonical Dirichlet space on U. We prove that W-1,W-2 (U) has smooth cylindrical functions as a dense subset if U is H-convex and H-open. For the proof, the relations between H-notions and quasi-notions are also studied. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：667 / 683

页数：17

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