paper

On Shift Harnack Inequalities for Subordinate Semigroups and Moment Estimates for Lévy Processes

arXiv:1412.6700 · doi:10.1016/j.spa.2015.05.013

Abstract

We show that shift Harnack type inequalities (in the sense of F.-Y.~Wang \cite{Wan14}) are preserved under Bochner's subordination. The proofs are based on two types of moment estimates for subordinators. As a by-product we establish moment estimates for general Lévy processes.

to appear in Stochastic Process. Appl

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On Shift Harnack Inequalities for Subordinate Semigroups and Moment Estimates for Lévy Processes · wovepaper