On fractional Poincar\'e inequalities
Functional Analysis
2011-11-16 v1
Abstract
We show that fractional (p,p)-Poincar\'e inequalities and even fractional Sobolev-Poincar\'e inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincar\'e inequalities for s-John domains.
Cite
@article{arxiv.1111.3604,
title = {On fractional Poincar\'e inequalities},
author = {Ritva Hurri-Syrjänen and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1111.3604},
year = {2011}
}