3 papers
math.FA2026
Rhaly-Type Operators in Several Complex Variables
Michael R. Pilla
Recently, a generalization of the Cesàro operator to several variables was introduced as a tuple acting on the Drury-Arveson space \cite{P}. We determine the norm of these Cesàro-t…
math.FA2026
Cesàro-Type Operators Acting on the Drury-Arveson Space
Michael R. Pilla
The celebrated Cesàro operator is a well-known operator with interesting connections to a variety of objects in operator theory. Generalizations have been made for Cesàro-type oper…
math.CV2021
One Parameter Semigroups in Two Complex Variables
Michael R. Pilla
For self maps of the disk, it can be shown that under the right conditions one can embed a discrete iteration of the map into a continuous semigroup. In this article we extend thes…