Green function for gradient perturbation of unimodal Lévy processes

  1. Tomasz Grzywny
  2. Tomasz Jakubowski
  3. Grzegorz Żurek

Abstract

 

GREEN FUNCTION FOR GRADIENT PERTURBATION OF UNIMODAL LÉVY PROCESSES

We prove that the Green function of a generator of isotropic unimodal Lévy processes with the weak lower scaling order greater thanone and the Green function of its gradient perturbations are comparable for bounded smooth open sets if the drift function is from an appropriate Kato
class.

 

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Probability and Mathematical Statistics

37, z. 1, 2017

Pages from 119 to 143

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