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Harnack inequality for some classes of Markov processes

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Abstract.

In this paper we establish a Harnack inequality for nonnegative harmonic functions of some classes of Markov processes with jumps.

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Correspondence to Renming Song.

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Mathematics Subject Classification (2000): Primary 60J45, 60J75, Secondary 60J25.

This work was completed while the authors were in the Research in Pairs program at the Mathematisches Forschungsinstitut Oberwolfach. We thank the Institute for the hospitality.

The research of this author is supported in part by NSF Grant DMS-9803240.

The research of this author is supported in part by MZT grant 0037107 of the Republic of Croatia.

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Song, R., Vondraček, Z. Harnack inequality for some classes of Markov processes. Math. Z. 246, 177–202 (2004). https://doi.org/10.1007/s00209-003-0594-z

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  • DOI: https://doi.org/10.1007/s00209-003-0594-z

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