Symmetrization inequalities for probability metric spaces with convex isoperimetric profile

Joaquin Martin Pedret*, Walter A. Ortiz

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

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Abstract

We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincare and Nash inequalities.

Original languageEnglish
Pages (from-to)877-897
Number of pages21
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume45
Issue number2
DOIs
Publication statusPublished - 2020

Keywords

  • Isoperimetric convex profile
  • Nash inequalities
  • Sobolev-Poincaré inequalities
  • Symmetrization

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