@article{368ed598016047c78567194b706f67d8,
title = "On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces",
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.",
keywords = "Dirichlet form, Heat kernel estimates, Jump process, Jumping kernel, Parabolic Harnack inequality",
author = "Chen, {Zhen Qing} and Panki Kim and Takashi Kumagai",
note = "Funding Information: Received November 24, 2008, Accepted December 3, 2008 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",
year = "2009",
month = jul,
doi = "10.1007/s10114-009-8576-7",
language = "English",
volume = "25",
pages = "1067--1086",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "7",
}