Analysis of jump processes with nondegenerate jumping kernels

Moritz Kassmann; Ante Mimica

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arXiv · 1109.3678

Analysis of jump processes with nondegenerate jumping kernels

Moritz Kassmann·Ante Mimica

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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.

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Moritz Kassmann, Ante Mimica. 2011-12-21. Analysis of jump processes with nondegenerate jumping kernels. https://arxiv.org/abs/1109.3678

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