Classical operators on weighted Banach spaces of entire functions

Beltrán, María; Bonet, José; Fernández, Carmen

doi:10.1090/S0002-9939-2013-11685-0

Classical operators on weighted Banach spaces of entire functions
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by María J. Beltrán, José Bonet and Carmen Fernández PDF

Proc. Amer. Math. Soc. 141 (2013), 4293-4303 Request permission

Abstract:

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.

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