Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals

2008/04/24 by Colesanti, Andrea, Saorin-Gomez, Eugenia
#26D10 #52A20 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.0804.3867

Abstract

We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family of inequalities of Poincaré type on the unit sphere and on the boundary of smooth convex bodies in the n-dimensional Euclidean space.

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