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2020 Characterizations of heat kernel estimates for symmetric non-local Dirichlet forms via resistance forms
Sheng-Hui Chen, Jian Wang
Tohoku Math. J. (2) 72(4): 507-526 (2020). DOI: 10.2748/tmj.20190625

Abstract

Motivated by [5], we obtain new equivalent conditions for two-sided heat kernel estimates of symmetric non-local Dirichlet forms in terms of resistance forms. Characterizations for upper bounds of heat kernel estimates as well as near diagonal lower bounds of Dirichlet heat kernel estimates are also established. These results can be seen as a complement of the recent studies on heat kernel estimates and parabolic Harnack inequalities for symmetric non-local Dirichlet forms in [10, 11].

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Sheng-Hui Chen. Jian Wang. "Characterizations of heat kernel estimates for symmetric non-local Dirichlet forms via resistance forms." Tohoku Math. J. (2) 72 (4) 507 - 526, 2020. https://doi.org/10.2748/tmj.20190625

Information

Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4194183
Digital Object Identifier: 10.2748/tmj.20190625

Subjects:
Primary: 60G52
Secondary: 60J25, 60J35, 60J55, 60J75

Rights: Copyright © 2020 Tohoku University

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Vol.72 • No. 4 • 2020
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