Analysis of jump processes with nondegenerate jumping kernels |
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Authors: | Moritz Kassmann Ante Mimica |
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Affiliation: | Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany |
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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 (2002) [3] and Bogdan–Sztonyk (2005) [6] 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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Keywords: | primary, 60J75 secondary, 31B05, 31B10, 35B45, 47G20, 60J45 |
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