Geodesic
Dynamics of differentiation and integration operators on weighted spaces of entire functions
María J. Beltrán1
1Facultat de Magisteri Universitat de València 46022 València, Spain
Studia Mathematica, Tome 221 (2014) no. 1, pp. 35-60
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm221-1-3
Keywords: investigate dynamical behavior operators differentiation integration hardy operator weighted banach spaces entire functions defined integral norms particular analyze hypercyclic chaotic power bounded uniformly mean ergodic moreover estimate norms operators study their spectra special emphasis put exponential weights

María J. Beltrán  1

1 Facultat de Magisteri Universitat de València 46022 València, Spain 
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 on weighted spaces of entire functions
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María J. Beltrán. Dynamics of differentiation and integration operators
 on weighted spaces of entire functions. Studia Mathematica, Tome 221 (2014) no. 1, pp. 35-60. doi: 10.4064/sm221-1-3

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