# New characterizations of Sobolev metric spaces

created by squassina on 05 Mar 2018

[BibTeX]

Preprint

Inserted: 5 mar 2018
Last Updated: 5 mar 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 $\R^N$.