An extension of Milman's reverse Brunn-Minkowski inequality

Jesus Bastero, J. Bernues, A. Pena

The classical Brunn-Minkowski inequality states that for $A_1,A_2\subset {\mathbb{R}}^n$ compact, $$ |A_1+A_2|^{1/n}\ge |A_1|^{1/n}+|A_2|^{1/n}\eqno(1) $$ where $|\cdot |$ denotes the Lebesgue…