Geometry of log-concave functions: the $L_p$ Asplund sum and the $L_p$ Minkowski problem

Niufa Fang, Sudan Xing, Deping Ye

The aim of this paper is to develop a basic framework of the $L_p$ theory for the geometry of log-concave functions, which can be viewed as a functional "lifting" of the $L_p$ Brun…