A unified treatment for Lp Brunn-Minkowski type inequalities

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40007

Communications in Analysis and Geometry, 2017.5
A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp trans- ference principle, is refined in this paper. As illustrations of the effectiveness and practicability of this method, several new Lp Brunn-Minkowski type in- equalities concerning the mixed volume, moment of inertia, quermassintegral, projection body and capacity are established.
Brunn-Minkowski inequality; Lp transference principle; projection body; capacity
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  • This article is to be published in CAG in 2018.
  title={A unified treatment for Lp Brunn-Minkowski type inequalities},
  author={Zou Du, and Xiong Ge},
  booktitle={Communications in Analysis and Geometry},
Zou Du, and Xiong Ge. A unified treatment for Lp Brunn-Minkowski type inequalities. 2017. In Communications in Analysis and Geometry. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170228130149134095565.
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