Gaussian heat kernel upper bounds via the Phragmén-Lindelöf Theorem

Coulhon, Thierry; Sikora, Adam

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Gaussian heat kernel upper bounds via the Phragmén-Lindelöf Theorem

Date

2008

Authors

Coulhon, Thierry

Sikora, Adam

Publisher

London Mathematical Society

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.