[Banach] Abstract of a paper by Andrea Colesanti and Eugenia Saorin-Gomez

This is an announcement for the paper "Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals" by Andrea Colesanti and Eugenia Saorin-Gomez.

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

Archive classification: math.FA math.MG

Mathematics Subject Classification: 52A20; 26D10

Remarks: 15 pages

The source file(s), cs3.tex: 37802 bytes, is(are) stored in gzipped form as 0804.3867.gz with size 12kb. The corresponding postcript file has gzipped size 109kb.

Submitted from: colesant@math.unifi.it

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http://front.math.ucdavis.edu/0804.3867

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http://arXiv.org/abs/0804.3867

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