Dynamics of differentiation and integration operators on weighted spaces of entire functions
Volume 221 / 2014
Studia Mathematica 221 (2014), 35-60
MSC: Primary 47B38; Secondary 47A16, 46E15.
DOI: 10.4064/sm221-1-3
Abstract
We investigate the dynamical behavior of the operators of differentiation and integration and the Hardy operator on weighted Banach spaces of entire functions defined by integral norms. In particular we analyze when they are hypercyclic, chaotic, power bounded, and (uniformly) mean ergodic. Moreover, we estimate the norms of the operators and study their spectra. Special emphasis is put on exponential weights.
