Dynamics of differentiation and integration operators on weighted spaces of entire functions

María J. Beltrán

Studia Mathematica (2014)

  • Volume: 221, Issue: 1, page 35-60
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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María J. Beltrán. "Dynamics of differentiation and integration operators on weighted spaces of entire functions." Studia Mathematica 221.1 (2014): 35-60. <http://eudml.org/doc/285475>.

@article{MaríaJ2014,
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.},
author = {María J. Beltrán},
journal = {Studia Mathematica},
keywords = {hypercyclic; chaotic; power bounded and (uniformly) mean ergodic operators; weighted spaces of entire functions},
language = {eng},
number = {1},
pages = {35-60},
title = {Dynamics of differentiation and integration operators on weighted spaces of entire functions},
url = {http://eudml.org/doc/285475},
volume = {221},
year = {2014},
}

TY - JOUR
AU - María J. Beltrán
TI - Dynamics of differentiation and integration operators on weighted spaces of entire functions
JO - Studia Mathematica
PY - 2014
VL - 221
IS - 1
SP - 35
EP - 60
AB - 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.
LA - eng
KW - hypercyclic; chaotic; power bounded and (uniformly) mean ergodic operators; weighted spaces of entire functions
UR - http://eudml.org/doc/285475
ER -

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