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

Zhen Qing Chen; Panki Kim; Takashi Kumagai

doi:10.1007/s10114-009-8576-7

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

Zhen Qing Chen^*, Panki Kim, Takashi Kumagai

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

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
Pages (from-to)	1067-1086
Number of pages	20
Journal	Acta Mathematica Sinica, English Series
Volume	25
Issue number	7
DOIs	https://doi.org/10.1007/s10114-009-8576-7
Publication status	Published - Jul 2009

Keywords

Dirichlet form
Heat kernel estimates
Jump process
Jumping kernel
Parabolic Harnack inequality

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10.1007/s10114-009-8576-7

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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",

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AU - Kim, Panki

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KW - Jump process

KW - Jumping kernel

KW - Parabolic Harnack inequality

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

Abstract

Keywords

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