%0 Journal Article %T Analysis of jump processes with nondegenerate jumping kernels %A Moritz Kassmann %A Ante Mimica %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1109.3678v2