BORELL-BRASCAMP-LIEB INEQUALITIES IN SPACES WITH BITRIANGULAR LAWS OF COMPOSITION, WITH APPLICATIONS

被引：0

作者：

Wu, Denghui ^{[1
]}

Wang, Chen-Lu ^{[1
]}

Bu, Zhen-Hui ^{[1
]}

机构：

[1] Northwest A&F Univ, Coll Sci, Yangling 712100, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2025年 / 55卷 / 01期

基金：

中国国家自然科学基金;

关键词：

convex body; Borell-Brascamp-Lieb inequality; Pr & eacute; kopa-Leindler inequality; Brunn's theorem; bitriangular composition law; and phrases; BRUNN-MINKOWSKI;

D O I：

10.1216/rmj.2025.55.289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Borell-Brascamp-Lieb inequalities and Brunn's concavity principle in spaces with bitriangular laws of composition. This generalization has as an interesting particular example the Heisenberg group Hn. As an application, we prove some Brunn-Minkowski-type inequalities in Hn, including an isomorphic version of the conjectured Brunn-Minkowski inequality in Hn, which gives a positive answer to a modified conjecture.

引用

页码：289 / 298

页数：10

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