Abstract
In this paper, we discuss necessary and sufficient conditions on jumping kernels for a class of jump-type Markov processes on metric measure spaces to have scale-invariant finite range parabolic Harnack inequality.
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The first author is partially supported by NSF (Grant No. DMS-0600206); The second author is partially supported by the Korea Science and Engineering Foundation (KOSEF) Grant funded by the Korea government (MEST) (No. R01-2008-000-20010-0); The third author is partially supported by the Grant-in-Aid for Scientific Research (B) 18340027
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Chen, ZQ., Kim, P. & Kumagai, T. On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. Acta. Math. Sin.-English Ser. 25, 1067–1086 (2009). https://doi.org/10.1007/s10114-009-8576-7
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DOI: https://doi.org/10.1007/s10114-009-8576-7