The Logarithmic Capacitary Minkowski Problem for Polytopes

• 作者: Ge XIONG Jia Wei XIONG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2022,（2）
• 页码范围: 406-418
• 页数: 13页
• 语种: 英文

摘要

The logarithmic capacitary Minkowski problem asks for necessary and sufficient conditions on a finite Borel measure on the unit sphere so that it is the logarithmic capacitary measure of a convex body.This article completely solves the case of discrete measures whose support sets are in general position.