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math.FA2020★ 1 cited
Geometry of log-concave functions: the Asplund sum and the Minkowski problem
Niufa Fang, Sudan Xing, Deping Ye
The aim of this paper is to develop a basic framework of the theory for the geometry of log-concave functions, which can be viewed as a functional "lifting" of the Brun…
math.FA2017
Sharp geometric inequalities for the general -affine capacity
Han Hong, Deping Ye
In this article, we propose the notion of the general -affine capacity and prove some basic properties for the general -affine capacity, such as affine invariance and monoton…