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VOLUME INEQUALITIES FOR THE L p-SINE TRANSFORM OF ISOTROPIC MEASURES

LuJun Guo|Gangsong Leng
대한수학회 (The Korean Mathematical Society)|2015.05|대한수학회보 (Bulletin of the KMS)|제52권 제3호|pp. 837-849

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참고문헌

키워드

isotropic measureLp-sine transformBrascamp-Lieb inequalityreverse Brascamp-Lieb inequalityUrysohn inequality
주제분류수학

초록

For p ≥ 1, sharp isoperimetric inequalities for the Lp-sine transform of isotropic measures are established. The corresponding reverse inequalities are obtained in an asymptotically optimal form. As applications of our main results, we present volume inequalities for convex bodies which are in Lp surface isotropic position.

Abstract

For p ≥ 1, sharp isoperimetric inequalities for the Lp-sine transform of isotropic measures are established. The corresponding reverse inequalities are obtained in an asymptotically optimal form. As applications of our main results, we present volume inequalities for convex bodies which are in Lp surface isotropic position.

참고문헌 (46)

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