arXiv:0806.3053 Abstract | arXiv Analytics

arXiv:0806.3053 [math.FA]Abstract References Reviews Resources

Isoperimetry and Symmetrization for Sobolev spaces on metric spaces

Published 2008-06-18, updated 2009-04-22Version 2

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.

Comments: corrected version

Journal: C. R. Acad. Sci. I (2009)

DOI: 10.1016/j.crma.2009.04.01

Categories: math.FA

Keywords: metric spaces, sobolev spaces, isoperimetry, study sobolev inequalities, symmetrization inequalities

Tags: journal article

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