Article ID Journal Published Year Pages File Type
4592186 Journal of Functional Analysis 2010 26 Pages PDF
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 Lévy 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory