Volume Inequalities for Isotropic Measures
度量几何
2007-05-23 v1 泛函分析
摘要
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.
引用
@article{arxiv.math/0607753,
title = {Volume Inequalities for Isotropic Measures},
author = {Erwin Lutwak and Deane Yang and Gaoyong Zhang},
journal= {arXiv preprint arXiv:math/0607753},
year = {2007}
}
备注
10 pages, to appear in American Journal of Mathematics