Isoperimetry and symmetrization for Sobolev spaces on metric spaces

Joaquim Martín, Mario Milman

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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, Poincaré inequalities, as well as metric versions of the Pólya-Szegö and Faber-Krahn principles. To cite this article: J. Martín, M. Milman, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences.
Original languageEnglish
Pages (from-to)627-630
JournalComptes Rendus Mathematique
Publication statusPublished - 1 Jun 2009


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