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arxiv: 1812.08979 · v2 · pith:J7GXJG3Anew · submitted 2018-12-21 · 🧮 math.FA

Composition operators on the spaces of Harmonic Bloch functions

classification 🧮 math.FA
keywords compositionoperatorsblochspacesconditionsfunctionsharmonicresults
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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. Then by using these conditions we estimate the essential norm of composition operators. These results extends the similar results that were proven in the literature on the Bloch spaces.

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