Harmonic Bloch Function Spaces and their Composition Operators

In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. In the sequel we investigate closed range composition operators. These results...

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Veröffentlicht in:Kragujevac Journal of Mathematics 2024, Vol.48 (4), p.535-546
Hauptverfasser: ESMAEILI, SOMAYYE, ESTAREMI, YOUSEF, EBADIAN, ALI
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ESTAREMI, YOUSEF
EBADIAN, ALI
description In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. In the sequel we investigate closed range composition operators. These results extends the similar results that were proven for composition operators on the Bloch spaces.
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title Harmonic Bloch Function Spaces and their Composition Operators
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