# New characterizations of Sobolev metric spaces

created by squassina on 05 Mar 2018
modified on 06 Jul 2018

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Inserted: 5 mar 2018
Last Updated: 6 jul 2018

Year: 2018

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 $\R^N$.