Classical operators on weighted Banach spaces of entire functions

Beltrán Meneu María José, Bonet Solves José Antonio, FERNANDEZ C.

2013

Proceedings of the American Mathematical Society

We study the operators of differentiation and of integration and the Hardy operator on weighted Banach spaces of entire functions. We estimate the norm of the operators, study the spectrum, and analyze when they are surjective, power bounded, hypercyclic, and (uniformly) mean ergodic.