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arXiv · 1409.5620

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

Simone Di Marino
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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.

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Simone Di Marino. 2014-09-19. Sobolev and BV spaces on metric measure spaces via derivations and integration by parts. https://arxiv.org/abs/1409.5620

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