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Gaussian heat kernel upper bounds via the Phragmén-Lindelöf Theorem

Coulhon, Thierry; Sikora, Adam


We prove that in the presence of L2 Gaussian estimates, the so-called Davies-Gaffney estimates, on-diagonal upper bounds imply precise off-diagonal Gaussian upper bounds for the kernels of analytic families of operators on metric measure spaces.

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Proceedings of the London Mathematical Society
DOI: 10.1112/plms/pdm050


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