A unified treatment for Lp Brunn-Minkowski type inequalities

2016/07/25 by Du Zou, Zou, Du, Ge Xiong +1 · 2 citations
Mathematics · #52A40 #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:52A40

paper · pdf · doi:10.48550/arxiv.1607.07141

21 pages. Accepted to publish in the journal Communications in Analysis and Geometry

arxiv created 2016/07/25 · arxiv updated 2016/07/26

Abstract

A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp transference principle, is refined in this paper. As illustrations of the effectiveness and practicability of this method, several new Lp Brunn-Minkowski type inequalities concerning the mixed volume, moment of inertia, quermassintegral, projection body and capacity are established.

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