Symmetrization of Lévy processes and applications

Rodrigo Banuelos; Pedro J. Mendez-Hernandez

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arXiv · 0907.1598

Symmetrization of Lévy processes and applications

Rodrigo Banuelos·Pedro J. Mendez-Hernandez

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Abstract

It is shown that many of the classical generalized isoperimetric inequalities for the Laplacian when viewed in terms of Brownian motion extend to a wide class of Levy processes. The results are derived from the multiple integral inequalities of Brascamp, Lieb and Luttinger but the probabilistic structure of the processes plays a crucial role in the proofs.

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Rodrigo Banuelos, Pedro J. Mendez-Hernandez. 2009-07-09. Symmetrization of Lévy processes and applications. https://arxiv.org/abs/0907.1598

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