The Lp-Brunn-Minkowski inequality for p < 1

被引：39
作者：
Chen, Shibing [1 ]
Huang, Yong [2 ]
Li, Qi-Rui [3 ,4 ]
Liu, Jiakun [5 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Hunan Univ, Inst Math, Changsha 410082, Peoples R China
[3] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
[4] Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT 2601, Australia
[5] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
来源：
ADVANCES IN MATHEMATICS | 2020年 / 368卷
基金：
澳大利亚研究理事会;
关键词：
L-p-Brunn-Minkowski inequality; Logarithmic-Minkowski inequality; REGULARITY;
D O I：
10.1016/j.aim.2020.107166
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we confirm the L-p-Brunn-Minkowski inequality conjecture for p close to 1. The logarithmic-Brunn-Minkowski inequality is also verified for convex bodies close to the unit ball in Hausdorff distance. (C) 2020 Elsevier Inc. All rights reserved.
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页数：21
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