Comparison inequalities for heat semigroups and heat kernels on metric measure spaces
type: Item
instance of: scholarly article
title: Comparison inequalities for heat semigroups and heat kernels on metric measure spaces
zbMATH Open document ID: 1207.58021
author: A. A. Grigor'yan
author: Jiaxin Hu
author: Ka-Sing Lau
published in: Journal of Functional Analysis
publication date: 2010-10-18T00:00:00Z
review text: The authors prove a certain inequality for a subsolution of the heat equation associated with a regular Dirichlet form. As a consequence of this inequality they obtain various interesting comparison inequalities for heat semigroups and heat kernels which are then used to obtain various pointwise estimates of the heat kernels. As an application the authors give a new proof of sub-Gaussian upper bounds of the heat kernel from on-diagonal bounds and tail estimates.
reviewed by: Shu-Yu Hsu
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 30L99
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 47D99
zbMATH DE Number: 5801144
zbMATH Keywords: Dirichlet form
zbMATH Keywords: heat semigroup
zbMATH Keywords: heat kernel
zbMATH Keywords: maximum principle
MaRDI profile type: Publication
full work available at URL: j.jfa.2010.07.010
OpenAlex ID: W2067586240
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DOI: 10.1016/J.JFA.2010.07.010
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description: scientific article; zbMATH DE number 5801144