This is an announcement for the paper "Volume inequalities for isotropic measures" by Erwin Lutwak, Deane Yang, and Gaoyong Zhang.

Abstract: A direct approach to Ball's simplex inequality is presented. This approach, which does not use the Brascamp-Lieb inequality, also gives Barthe's characterization of the simplex for Ball's inequality and extends it from discrete to arbitrary measures. It also yields the dual inequality, along with equality conditions, and it does both for arbitrary measures.

Archive classification: Metric Geometry; Functional Analysis

Mathematics Subject Classification: 52A40

Remarks: 10 pages, to appear in American Journal of Mathematics

The source file(s), bb2_copy7.tex: 32473 bytes, is(are) stored in gzipped form as 0607753.gz with size 10kb. The corresponding postcript file has gzipped size 45kb.

Submitted from: dyang@poly.edu

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