Symmetrization of L\'evy processes and applications
Probability
2009-07-10 v1 Spectral Theory
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.
Keywords
Cite
@article{arxiv.0907.1598,
title = {Symmetrization of L\'evy processes and applications},
author = {Rodrigo Banuelos and Pedro J. Mendez-Hernandez},
journal= {arXiv preprint arXiv:0907.1598},
year = {2009}
}
Comments
25 pages