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

✍ Scribed by Zhen-Qing Chen; Panki Kim; Takashi Kumagai

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2009
Tongue: English
Weight: 319 KB
Volume: 25
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-009-8576-7

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## Abstract Jump processes on metric‐measure spaces are investigated by using heat kernels. It is shown that the heat kernel corresponding to a __σ__ ‐stable type process decays at a polynomial rate rather than at an exponential rate as a Brownian motion. The domain of the Dirichlet form associated