Symmetrization and sharp Sobolev inequalities in metric spaces
Functional Analysis
2008-06-03 v1 Analysis of PDEs
Abstract
We derive sharp Sobolev inequalities for Sobolev spaces on metric spaces. In particular, we obtain new sharp Sobolev embeddings and Faber-Krahn estimates for H\"{o}rmander vector fields.
Keywords
Cite
@article{arxiv.0806.0052,
title = {Symmetrization and sharp Sobolev inequalities in metric spaces},
author = {Jan Kalis and Mario Milman},
journal= {arXiv preprint arXiv:0806.0052},
year = {2008}
}