Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Joaquim Martín, Mario Milman

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)

Abstract

Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts. © 2008 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)149-178
JournalJournal of Functional Analysis
Volume256
DOIs
Publication statusPublished - 1 Jan 2009

Keywords

  • Isoperimetric inequalities
  • Logarithmic Sobolev inequalities
  • Symmetrization

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