Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential type
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Title
Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential typeDate
2021-09-07Publisher
Springer NatureISSN
1660-5446; 1660-5454Bibliographic citation
Beltrán-Meneu, M.J., Jordá, E. Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type. Mediterr. J. Math. 18, 212 (2021)Type
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Abstract
Given an affine symbol φ and a multiplier w, we focus on the weighted composition operator Cw,φ acting on the spaces Exp and Exp0 of entire functions of exponential and of infraexponential type, respectively. We ... [+]
Given an affine symbol φ and a multiplier w, we focus on the weighted composition operator Cw,φ acting on the spaces Exp and Exp0 of entire functions of exponential and of infraexponential type, respectively. We characterize the continuity of the operator and, for w the product of a polynomial by an exponential function, we completely characterize power boundedness and (uniform) mean ergodicity. In the case of multiples of composition operators, we also obtain the spectrum and characterize hypercyclicity. [-]
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Mediterranean Journal of Mathematics, volume 18 (2021)Funder Name
CRUE-CSIC
Project code
MTM2016-76647-P | MTM2016-76647-P | PID2020-119457GB-I00
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info:eu-repo/semantics/openAccess
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