Analysis of jump processes with nondegenerate jumping kernels

Details Analysis of jump processes with nondegenerate jumping kernels Analysis of jump processes with nondegenerate jumping kernels

2011-09-16

arxiv.org/abs/1109.3678v2

Mathematics

Probability

Scientific paper

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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