Open Access
VOL. 5 | 2009 On weighted isoperimetric and Poincaré-type inequalities
Chapter Author(s) Sergey G. Bobkov, Michel Ledoux
Editor(s) Christian Houdré, Vladimir Koltchinskii, David M. Mason, Magda Peligrad
Inst. Math. Stat. (IMS) Collect., 2009: 1-29 (2009) DOI: 10.1214/09-IMSCOLL501

Abstract

Weighted isoperimetric and Poincaré-type inequalities are studied for κ-concave probability measures (in the hierarchy of convex measures).

Information

Published: 1 January 2009
First available in Project Euclid: 2 February 2010

zbMATH: 1243.26011
MathSciNet: MR2797936

Digital Object Identifier: 10.1214/09-IMSCOLL501

Keywords: Isoperimetric inequalities , localization technique , Pareto distributions , weighted Poincaré and Cheeger-type inequalities

Rights: Copyright © 2009, Institute of Mathematical Statistics

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