Towards a theory of BV functions in abstract Wiener spaces

被引：6

作者：

Ambrosio, Luigi ^{[3
]}

Miranda, Michele, Jr. ^{[2
]}

Maniglia, Stefania ^{[1
]}

Pallara, Diego ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat Ennio De Giorgi, I-73100 Lecce, Italy

[2] Univ Ferrara, Dipartmento Matemat, I-44100 Ferrara, Italy

[3] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2010年 / 239卷 / 15期

关键词：

BV functions; Wiener space; Ornstein-Uhlenbeck semigroup; BOUNDED VARIATION; HEAT SEMIGROUP; INEQUALITY;

D O I：

10.1016/j.physd.2009.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Functions of bounded variation in an abstract Wiener space, i.e., an infinite dimensional Banach space endowed with a Gaussian measure and a related differentiable structure, have been introduced by M. Fukushima and M. Hino using Dirichlet forms, and their properties have been studied with tools from stochastics. In this paper we reformulate, with purely analytical tools, the definition and the main properties of By functions, and start investigating further properties. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：1458 / 1469

页数：12

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