Skip navigation
Skip navigation

Gaussian heat kernel upper bounds via the Phragmén-Lindelöf Theorem

Coulhon, Thierry; Sikora, Adam

Description

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
URI: http://hdl.handle.net/1885/29649
Source: Proceedings of the London Mathematical Society
DOI: 10.1112/plms/pdm050

Download

File Description SizeFormat Image
01_Coulhon_Gaussian_heat_kernel_upper_2008.pdf377.92 kBAdobe PDF    Request a copy
02_Coulhon_Gaussian_heat_kernel_upper_2008.pdf360.02 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator