A unified treatment for Lp Brunn-Minkowski type inequalities
arXiv:1607.07141
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.
21 pages. Accepted to publish in the journal Communications in Analysis and Geometry