Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type
| Autor: | María José Beltrán-Meneu, Enrique Jordá |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Polynomial Composition operator Hypercyclic operator General Mathematics Entire function Spectrum (functional analysis) Spaces of entire functions of (infra) exponential type Power bounded operator Type (model theory) Exponential function hypercyclic operator Multiplier (Fourier analysis) power bounded operator Operator (computer programming) weighted composition operator Mean ergodic operator mean ergodic operator spaces of entire functions of (infra) exponential type Weighted composition operator MATEMATICA APLICADA Mathematics |
| Zdroj: | Repositori Universitat Jaume I Universitat Jaume I RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| Popis: | [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. The research of the first author was supported by the research project MTM2016-76647-P. The research of the second author was partially supported by MTM2016-76647-P and PID2020-119457GB-I00 |
| Databáze: | OpenAIRE |
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