A Reverse Rogers–Shephard Inequality for Log-Concave Functions

A Reverse Rogers–Shephard Inequality for Log-Concave Functions

We will prove a reverse Rogers–Shephard inequality for log-concave functions. In some particular cases, the method used for general log-concave functions can be slightly improved, allowing us to prove volume estimates for polars of ℓ p -diferences of convex bodies under the condition that their pola...

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Veröffentlicht in:The Journal of Geometric Analysis 2019-01, Vol.29 (1), p.299-315
1. Verfasser: Alonso-Gutiérrez, David
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Equality
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
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creator Alonso-Gutiérrez, David
description We will prove a reverse Rogers–Shephard inequality for log-concave functions. In some particular cases, the method used for general log-concave functions can be slightly improved, allowing us to prove volume estimates for polars of ℓ p -diferences of convex bodies under the condition that their polar bodies have opposite barycenters.
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subjects Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Equality
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
title A Reverse Rogers–Shephard Inequality for Log-Concave Functions
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