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arXiv · 0806.3053

Isoperimetry and Symmetrization for Sobolev spaces on metric spaces

Joaquim Martin·Mario Milman
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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 Pó% lya-Szegö and Faber-Krahn principles.

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BibTeXRIS

Joaquim Martin, Mario Milman. 2009-04-22. Isoperimetry and Symmetrization for Sobolev spaces on metric spaces. https://doi.org/10.1016/j.crma.2009.04.01

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