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2009 From lower to upper estimates of heat kernels in doubling spaces
Salahaddine Boutayeb
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Tbilisi Math. J. 2: 61-76 (2009). DOI: 10.32513/tbilisi/1528768842

Abstract

In a metric measured space with the volume doubling property, we show that a subgaussian lower estimate for the heat kernel implies an upper estimate provided the volume growth is uniform or an exit time estimate holds. This extends work of Grigor'yan, Hu and Lau (2008) which treats the case where the volume is a power function.

Acknowledgment

The author is grateful to Thierry Coulhon and Adam Sikora for interesting discussions and helpful remarks.

Citation

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Salahaddine Boutayeb. "From lower to upper estimates of heat kernels in doubling spaces." Tbilisi Math. J. 2 61 - 76, 2009. https://doi.org/10.32513/tbilisi/1528768842

Information

Received: 9 February 2009; Revised: 28 September 2009; Accepted: 24 December 2009; Published: 2009
First available in Project Euclid: 12 June 2018

zbMATH: 1204.58020
MathSciNet: MR2610162
Digital Object Identifier: 10.32513/tbilisi/1528768842

Subjects:
Primary: 58J35
Secondary: 46E35, 47D07

Rights: Copyright © 2009 Tbilisi Centre for Mathematical Sciences

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