L^p-L^r estimates for the Poisson semigroup
on homogeneous trees

Alberto G. Setti
Dipartimento di Matematica
Università di Milano
via Saldini 50
20133 Milano
Italy
e-mail: setti@dsdipa.mat.unimi.it

Abstract:

Let be a homogeneous tree of degree at least three. In this paper we investigate for which values of p and r the -Poisson semigroup is L^p-L^r-bounded, and we give sharp estimates for the corresponding operator norms.

PDF file size: 83Kb.