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arXiv · 1803.01658

New characterizations of Sobolev metric spaces

Simone Di Marino·Marco Squassina
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Abstract

We provide new characterizations of Sobolev ad BV spaces in doubling and Poincare metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R^N.

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Simone Di Marino, Marco Squassina. 2018-03-05. New characterizations of Sobolev metric spaces. https://arxiv.org/abs/1803.01658

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