Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

Thierry Coulhon; Adam Sikora

doi:10.1112/plms/pdm050

Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

Thierry Coulhon
, Adam Sikora

CY Cergy Paris Université
New Mexico State University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	507-544
Nombre de pages	38
journal	Proceedings of the London Mathematical Society
Volume	96
Numéro de publication	2
Les DOIs	https://doi.org/10.1112/plms/pdm050
état	Publié - 1 janv. 2008
Modification externe	Oui

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10.1112/plms/pdm050

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title = "Gaussian heat kernel upper bounds via the Phragm{\'e}n-Lindel{\"o}f theorem",

abstract = "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.",

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Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

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