This is an announcement for the paper "A hyperplane inequality for measures of unconditional convex bodies" by Alexander Koldobsky.
Abstract: We prove an inequality that extends to arbitrary measures the hyperplane inequality for volume of unconditional convex bodies originally observed by Bourgain.
Archive classification: math.MG math.FA
Mathematics Subject Classification: 52A20
Submitted from: koldobskiya@missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1312.7048
or