Estimates for functions of the Laplace operator on homogeneous trees

Authors
Cowling, M Meda, S Setti, AG
Citation
M. Cowling et al., Estimates for functions of the Laplace operator on homogeneous trees, T AM MATH S, 352(9), 2000, pp. 4271-4293
Citations number
25
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
9
Year of publication
2000
Pages
4271 - 4293
Database
ISI
SICI code
0002-9947(2000)352:9<4271:EFFOTL>2.0.ZU;2-A
Abstract
In this paper, we study the heat equation on a homogeneous graph, relative to the natural (nearest-neighbour) Laplacian. We find pointwise estimates f or the heat and resolvent kernels, and the L-p-L-q mapping properties of th e corresponding operators.