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Gaussian heat kernel upper bounds via the Phragmen-Lindelof theorem |
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| Authors: | Coulhon, Thierry Sikora, Adam |
| Affiliation: | Département de Mathématiques Université de Cergy-Pontoise Site de Saint-Martin 2, rue Adolphe Chauvin F 95302 Cergy-Pontoise Cedex France |
| Abstract: | We prove that in the presence of L2 Gaussian estimates, theso-called Davies–Gaffney estimates, on-diagonal upperbounds imply precise off-diagonal Gaussian upper bounds forthe kernels of analytic families of operators on metric measurespaces. |
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