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

Authors
Banuelos, R Latala, R Mendez-Hernandez, PJ
Citation
R. Banuelos et al., A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes, P AM MATH S, 129(10), 2001, pp. 2997-3008
Citations number
19
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
10
Year of publication
2001
Pages
2997 - 3008
Database
ISI
SICI code
0002-9939(2001)129:10<2997:ABIAAT>2.0.ZU;2-W
Abstract
We derive an inequality for multiple integrals from which we conclude vario us generalized isoperimetric inequalities for Brownian motion and symmetric stable processes in convex domains of fixed inradius. Our multiple integra l inequality is a replacement for the classical inequality of H. J. Brascam p, E. H. Lieb and J. M. Luttinger, where instead of fixing the volume of th e domain one fixes its inradius.