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Affine Orlicz Pólya-Szegö principles and their equality cases

2020/08/16 by Youjiang Lin, Lin, Youjiang, Dongmeng Xi +1 · 1 citation
Mathematics · #46E30 #46E35 #52A40 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2008.07026

openalex publication_date 2020/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The conjecture about the Orlicz Pólya-Szegö principle posed in [43] is proved. The cases of equality are characterized in the affine Orlicz Pólya-Szegö principle with respect to Steiner symmetrization and Schwarz spherical symmetrization.

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