Composition operators in hyperbolic general Besov-type spaces
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A. El-Sayed Ahmed
ahsayed80@hotmail.com
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M. A. Bakhit
mabakhit2007@hotmail.com
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DOI:
https://doi.org/10.4067/S0719-06462013000300003Abstract
In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F∗(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators Cφ acting from the hyperbolic α-Bloch class to the class F∗(p, q, s) are characterized by conditions depending on an analytic self-map φ : D → D.
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