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.
Original language | English |
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Pages (from-to) | 1067-1086 |
Number of pages | 20 |
Journal | Acta Mathematica Sinica, English Series |
Volume | 25 |
Issue number | 7 |
DOIs | |
Publication status | Published - Jul 2009 |
Keywords
- Dirichlet form
- Heat kernel estimates
- Jump process
- Jumping kernel
- Parabolic Harnack inequality
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Chen, Z. Q., Kim, P., & Kumagai, T. (2009). On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. Acta Mathematica Sinica, English Series, 25(7), 1067-1086. https://doi.org/10.1007/s10114-009-8576-7