Superposition operators between the Bloch space and Bergman spaces |
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| Authors: | Venancio Álvarez M Auxiliadora Márquez Dragan Vukotić |
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| Institution: | (1) Departamento de Análisis Matemático, Universidad de Málaga, Campus de Teatinos, ES-29071 Málaga, Spain;(2) Departamento de Matemáticas, Universidad Autónoma de Madrid, ES-28049 Madrid, Spain |
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| Abstract: | Using a geometric method, we characterize all entire functions that transform the Bloch space into a Bergman space by superposition
in terms of their order and type. We also prove that all superposition operators induced by such entire functions act boundedly.
Similar results hold for superpositions from BMOA into Bergman spaces and from the Bloch space into certain weighted Hardy
spaces. |
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