# Sobolev and $BV$ spaces on metric measure spaces via derivations and integration by parts

created by dimarino on 18 Sep 2014

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Inserted: 18 sep 2014
Last Updated: 18 sep 2014

Year: 2014

Abstract:

We develop a theory of $BV$ and Sobolev Spaces via integration by parts formula in abstract metric spaces; the role of vector fields is played by Weaver’s metric derivations. The definition hereby given is shown to be equivalent to many others present in literature.

Tags: GeMeThNES

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