Isoperimetry and Symmetrization for Sobolev spaces on metric spaces
Functional Analysis
2009-04-25 v2
Abstract
Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces. The applications include concentration inequalities, as well as metric versions of the P\'{o}% lya-Szeg\"{o} and Faber-Krahn principles.
Keywords
Cite
@article{arxiv.0806.3053,
title = {Isoperimetry and Symmetrization for Sobolev spaces on metric spaces},
author = {Joaquim Martin and Mario Milman},
journal= {arXiv preprint arXiv:0806.3053},
year = {2009}
}
Comments
corrected version