New characterizations of Sobolev metric spaces
Analysis of PDEs
2018-03-06 v1
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.
Keywords
Cite
@article{arxiv.1803.01658,
title = {New characterizations of Sobolev metric spaces},
author = {Simone Di Marino and Marco Squassina},
journal= {arXiv preprint arXiv:1803.01658},
year = {2018}
}
Comments
15 pages