Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type
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https://riunet.upv.es/handle/10251/186780
Cita bibliográfica
Beltrán Meneu, MJ.; Jorda Mora, E. (2021). Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type. Mediterranean Journal of Mathematics. 18(5):1-18. https://doi.org/10.1007/s00009-021-01850-1
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Resumen
[EN] Given an affine symbol phi and a multiplier w, we focus on the weighted composition operator C-w,C-phi acting on the spaces Exp and Exp(0) 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.
Fuente
Mediterranean Journal of Mathematics issn: 1660-5446
