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Integral composition operators between weighted Bergman spaces and weighted Bloch type spaces

Elke Wolf

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Abstract

We characterize boundedness and compactness of integral composition operators acting between weighted Bergman spaces A v,p and weighted Bloch type spaces B w . RESUMENCaracterizamos la acotación y compacidad de operadores integrales compuestos actuando entre espacios de Bergman con peso A v,p y espacios B w de tipo Bloch con peso.

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We characterize boundedness and compactness of integral composition operators acting between weighted Bergman spaces A v,p and weighted Bloch type spaces B w . RESUMENCaracterizamos la acotación y compacidad de operadores integrales compuestos actuando entre espacios de Bergman con peso A v,p y espacios B w de tipo Bloch con peso.

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We characterize boundedness and compactness of integral composition operators acting between weighted Bergman spaces A v,p and weighted Bloch type spaces B w . RESUMENCaracterizamos la acotación y compacidad de operadores integrales compuestos actuando entre espacios de Bergman con peso A v,p y espacios B w de tipo Bloch con peso.

Key concepts: Mathematics, Composition (language), Compact space, Type (biology), Pure mathematics, Bloch space, Mathematical analysis, Philosophy

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