An introduction to $BV$ functions in Wiener spaces

VOL. 67 | 2015 An introduction to $BV$ functions in Wiener spaces

Chapter Author(s) Michele Miranda Jr., Matteo Novaga, Diego Pallara

Editor(s) Luigi Ambrosio, Yoshikazu Giga, Piotr Rybka, Yoshihiro Tonegawa

Adv. Stud. Pure Math., 2015: 245-294 (2015) DOI: 10.2969/aspm/06710245

Abstract

We present the foundations of the theory of functions of bounded variation and sets of finite perimeter in abstract Wiener spaces.

Published: 1 January 2015

First available in Project Euclid: 19 October 2018

MathSciNet: MR3587453

Digital Object Identifier: 10.2969/aspm/06710245

Subjects:

Primary: 26E15 , 28C20 , 49Q15

Secondary: 60H07

Keywords: Functions of bounded variation , Ornstein–Uhlenbeck semigroup , Wiener space

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Vol. 67 • 1 January 2015

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Mathematical Society of Japan