Measure Comparison and Distance Inequalities for Convex Bodies

被引：0

作者：

Koldobsky, Alexander ^{[1
]}

Paouris, Grigoris ^{[2
]}

Zvavitch, Artem ^{[3
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Texas A&M Univ, Dept Math, 400 Bizzell St, College Stn, TX 77843 USA

[3] Kent State Univ, Dept Math Sci, 800 E Summit St, Kent, OH 44240 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2022年 / 71卷 / 01期

基金：

美国国家科学基金会;

关键词：

Convex bodies; hyperplane sections; measure; Busemann-Petty problerm; intersection body; BUSEMANN-PETTY PROBLEM; LINEAR FUNCTIONALS; SECTIONS; VOLUMES; RATIOS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show how these results can be used to recover slicing and distance inequalities. We also prove a sharp upper estimate for the outer volume ratio distance from an arbitrary convex body to the unit balls of subspaces of L-p.

引用

页码：391 / 407

页数：17

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