Analysis of jump processes with nondegenerate jumping kernels

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.

References in corpus (1)

• Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

Cited by in corpus (1)

• Hölder continuity of harmonic functions for Hunt processes with Green function