Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential type
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Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential typeData de publicació
2021-09-07Editor
Springer NatureISSN
1660-5446; 1660-5454Cita bibliogràfica
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)Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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)Entitat finançadora
CRUE-CSIC
Codi del projecte o subvenció
MTM2016-76647-P | MTM2016-76647-P | PID2020-119457GB-I00
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info:eu-repo/semantics/openAccess
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