A unified treatment for Lp Brunn-Minkowski type inequalities
Metric Geometry
2016-07-26 v1
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.
Keywords
Cite
@article{arxiv.1607.07141,
title = {A unified treatment for Lp Brunn-Minkowski type inequalities},
author = {Du Zou and Ge Xiong},
journal= {arXiv preprint arXiv:1607.07141},
year = {2016}
}
Comments
21 pages. Accepted to publish in the journal Communications in Analysis and Geometry