A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
Open Access
- 17 April 2001
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 129 (10) , 2997-3008
- https://doi.org/10.1090/s0002-9939-01-06137-8
Abstract
We derive an inequality for multiple integrals from which we con- clude various generalized isoperimetric inequalities for Brownian motion and symmetric stable processes in convex domains of xed inradius. Our multiple integral inequality is a replacement for the classical inequality of H. J. Bras- camp, E. H. Lieb and J. M. Luttinger, where instead of xing the volume of the domain one xes its inradius.Keywords
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