Symmetrization Inequalities for Probability metric spaces with Convex\n Isoperimetric profile

2019/08/23 by Joaquim Martı́n, Martin, Joaquim, Walter A. Ortiz +1
Health Professions · Mathematics · #46E35 #FOS: Mathematics #Functional Analysis (math.FA) #Health and Conflict Studies #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1908.08888

openalex publication_date 2019/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain symmetrization inequalities on probability metric spaces with\nconvex isoperimetric profile which incorporate in their formulation the\nisoperimetric estimator and that can be applied to provide a unified treatment\nof sharp Sobolev-Poincar 'e and Nash inequalities.\n

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