## Gaussian heat kernel upper bounds via the Phragmn-Lindelf theorem

by
Thierry Coulhon
,
Adam Sikora

Venue: | Proc. Lond. Math. Soc |

Citations: | 7 - 0 self |

### BibTeX

@ARTICLE{Coulhon_gaussianheat,

author = {Thierry Coulhon and Adam Sikora},

title = {Gaussian heat kernel upper bounds via the Phragmn-Lindelf theorem},

journal = {Proc. Lond. Math. Soc},

year = {},

pages = {544}

}

### OpenURL

### Abstract

Abstract. We prove that in presence of L 2 Gaussian estimates, 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. Contents