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

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

44 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1067-1086
页数	20
期刊	Acta Mathematica Sinica, English Series
卷	25
期	7
DOI	https://doi.org/10.1007/s10114-009-8576-7
出版状态	已出版 - 7月 2009

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10.1007/s10114-009-8576-7

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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

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

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