当前位置: X-MOL 学术RACSAM › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On a Brunn–Minkowski inequality for measures with quasi-convex densities
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 1.8 ) Pub Date : 2020-05-02 , DOI: 10.1007/s13398-020-00853-z
Jesús Yepes Nicolás

In this paper we prove that the classical Brunn–Minkowski inequality holds for product measures on the Euclidean space with quasi-convex densities when considering certain classes of sets that contain, among others, the complements (within a centered box) of unconditional sets. As a consequence, we derive an isoperimetric type inequality.



中文翻译:

关于具有准凸密度的度量的Brunn-Minkowski不等式

在本文中,我们证明了经典的Brunn–Minkowski不等式在考虑包含非条件集的补集(在中心框内)的某些类集时,具有拟凸密度的欧氏空间上的乘积度量成立。结果,我们得出了等距类型的不等式。

更新日期:2020-05-02
down
wechat
bug