The Existence of Extremizers of Blaschke-Santaló Type Inequalities

2020/02/07 by Ben Li, Li, Ben · 1 citation
Mathematics · #26A51 52A41 46B10 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2002.02754

openalex publication_date 2020/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a topological structure on families of convex functions and then apply it to show the existence of extrimizers for the functional Santaló inequality with respect to polar transform and its reverse.

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• Rearrangements and infimum convolutions

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