A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes

Bañuelos, Rodrigo; Latała, Rafał; Méndez-Hernández, Pedro

doi:10.1090/S0002-9939-01-06137-8

A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
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by Rodrigo Bañuelos, Rafał Latała and Pedro J. Méndez-Hernández PDF

Proc. Amer. Math. Soc. 129 (2001), 2997-3008 Request permission

Abstract:

We derive an inequality for multiple integrals from which we conclude various generalized isoperimetric inequalities for Brownian motion and symmetric stable processes in convex domains of fixed inradius. Our multiple integral inequality is a replacement for the classical inequality of H. J. Brascamp, E. H. Lieb and J. M. Luttinger, where instead of fixing the volume of the domain one fixes its inradius.

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