西北师范大学学报（自然科学版）2025，Vol.61Issue(3)：123-132,10.DOI:10.16783/j.cnki.nwnuz.2025.03.014
三个函数的Borell-Brascamp-Lieb不等式的优化与等号条件
The refined Borell-Brascamp-Lieb inequalities for three functions and their equality conditions
摘要
Abstract
The classical Borell-Brascamp-Lieb inequalities have been extended to the cases with three functions.Firstly,using the quantitative Young inequality,the more general quantitative discrete Hölder inequality has been successfully derived,which in turn allows us to prove the quantitative Borell-Brascamp-Lieb inequalities for three functions by using the optimal transport map.Moreover,the equality conditions of Borell-Brascamp-Lieb inequalities for three functions have been discussed.关键词
Borell-Brascamp-Lieb不等式/最优传输映射/Hölder不等式/等号条件Key words
Borell-Brascamp-Lieb inequality/optimal transport map/Hölder inequality/equality cases分类
数学引用本文复制引用
杨胜男,王起姣,武登辉..三个函数的Borell-Brascamp-Lieb不等式的优化与等号条件[J].西北师范大学学报（自然科学版）,2025,61(3):123-132,10.基金项目
陕西省数理基础科学研究项目(23JSQ033) （23JSQ033）
