DUAL CURVATURE MEASURES FOR LOG-CONCAVE FUNCTIONS

被引：0
作者：
Huang, Yong [1 ]
Liu, Jiaqian [1 ,2 ]
Xi, Dongmeng [3 ]
Zhao, Yiming [4 ]
机构：
[1] Hunan Univ, Inst Math, 2 Lushan S Rd, Changsha 410082, Peoples R China
[2] Henan Univ, Sch Math & Stat, Kaifeng 475001, Peoples R China
[3] Shanghai Univ, Dept Math, 266 Jufengyuan Rd, Shanghai 200444, Peoples R China
[4] Syracuse Univ, Dept Math, 130 Sims Dr,215 Carnegie, Syracuse, NY 13244 USA
来源：
JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 128卷 / 02期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
BUSEMANN-PETTY PROBLEM; MINKOWSKI-FIREY THEORY; SUBSPACE CONCENTRATION; AFFINE; INEQUALITIES; INTERIOR; SOBOLEV;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce dual curvature measures for log-concave functions, which in the case of characteristic functions recover the dual curvature measures for convex bodies introduced by Huang-Lutwak-Yang-Zhang in 2016. Variational formulas are shown. The associated Minkowski problem for these dual curvature measures is considered and sufficient conditions in the symmetric setting are demonstrated.
引用
收藏
页码：815 / 860
页数：46
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