L-P-L-R ESTIMATES FOR THE POISSON SEMIGROUP ON HOMOGENEOUS TREES

Authors
SETTI AG
Citation
Ag. Setti, L-P-L-R ESTIMATES FOR THE POISSON SEMIGROUP ON HOMOGENEOUS TREES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 20-32
Citations number
14
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
1
Pages
20 - 32
Database
ISI
SICI code
0263-6115(1998)64:<20:LEFTPS>2.0.ZU;2-M
Abstract
Let X be a homogeneous tree of degree at least three. In this paper we investigate for which values of p and r the (sigma, theta)-Poisson se migroup is L-p - L-r-bounded, and we give sharp estimates for the corr esponding operator norms.