Some Fine Properties of BV Functions on Wiener Spaces

In this paper we define jump set and approximate limits for BV functions on Wiener spaces and show that the weak gradient admits a decomposition similar to the finite dimensional case. We also define the SBV class of functions of special bounded variation and give a characterisation of SBV via a cha...

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Bibliographic Details
Main Authors: Ambrosio Luigi, Miranda Jr. Michele, Pallara Diego
Format: Article
Language:English
Published: De Gruyter 2015-08-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2015-0013