On weighted Poincar\'e inequalities
Analysis of PDEs
2013-02-08 v3 Functional Analysis
Abstract
The aim of this note is to show that Poincar\'e inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar\'e inequalities are considered, too. The proof is short and does not involve covering arguments.
Cite
@article{arxiv.1209.3125,
title = {On weighted Poincar\'e inequalities},
author = {Bartłomiej Dyda and Moritz Kassmann},
journal= {arXiv preprint arXiv:1209.3125},
year = {2013}
}
Comments
6 pages