On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

Authors
Chen, Zhen-Qing Kim, Panki Kumagai, Takashi
Citation
Chen, Zhen-qing et al., On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces, Acta mathematica Sinica. English series (Print) , 25(7), 2009, pp. 1067-1086
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
7
Year of publication
2009
Pages
1067 - 1086
Database
ACNP
SICI code
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