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
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
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