Analysis of jump processes with nondegenerate jumping kernels
Probability
2011-12-22 v2
Abstract
We prove regularity estimates for functions which are harmonic with respect to certain jump processes. The aim of this article is to extend the method of Bass-Levin[BL02] and Bogdan-Sztonyk[BS05] to more general processes. Furthermore, we establish a new version of the Harnack inequality that implies regularity estimates for corresponding harmonic functions.
Cite
@article{arxiv.1109.3678,
title = {Analysis of jump processes with nondegenerate jumping kernels},
author = {Moritz Kassmann and Ante Mimica},
journal= {arXiv preprint arXiv:1109.3678},
year = {2011}
}