Green function for gradient perturbation of unimodal L\'evy processes in the real line
Analysis of PDEs
2018-02-06 v1 Probability
Abstract
We prove that the Green function of a generator of symmetric unimodal L\'evy processes with the weak lower scaling order bigger than one and the Green function of its gradient perturbations are comparable for bounded subsets of the real line if the drift function is from an appropriate Kato class.
Cite
@article{arxiv.1802.01450,
title = {Green function for gradient perturbation of unimodal L\'evy processes in the real line},
author = {T. Grzywny and T. Jakubowski and G. Żurek},
journal= {arXiv preprint arXiv:1802.01450},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1505.07700