Symmetrization Inequalities for Probability metric spaces with Convex Isoperimetric profile
Functional Analysis
2019-08-26 v1
Abstract
We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincar\'{e} and Nash inequalities.
Keywords
Cite
@article{arxiv.1908.08888,
title = {Symmetrization Inequalities for Probability metric spaces with Convex Isoperimetric profile},
author = {Joaquim Martin and Walter A. Ortiz},
journal= {arXiv preprint arXiv:1908.08888},
year = {2019}
}