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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm221-1-3,
author = {Mar\'\i a J. Beltr\'an},
title = {Dynamics of differentiation and integration operators on weighted spaces of entire functions},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {35-60},
zbl = {1303.47044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm221-1-3}
}
María J. Beltrán. Dynamics of differentiation and integration operators on weighted spaces of entire functions. Studia Mathematica, Tome 223 (2014) pp. 35-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm221-1-3/