Composition operators from Nevanlinna type spaces to Bloch type spaces (Q437708)

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scientific article; zbMATH DE number 6058280
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Composition operators from Nevanlinna type spaces to Bloch type spaces
scientific article; zbMATH DE number 6058280

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    Composition operators from Nevanlinna type spaces to Bloch type spaces (English)
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    18 July 2012
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    Let \(\varphi\) be an analytic self-map of the unit disk \(\mathbb{D}\). The authors characterize the metrically bounded and metrically compact composition operators \(C_\varphi: X \to Y\), where \(Y\) is a weighted Bloch space on \(\mathbb{D}\) and \(X\) is the Smirnov class \(N^+(\mathbb{D})\) or the Privalov space \(N^p(\mathbb{D})\), \(1<p<\infty\).
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    composition operator
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    Nevanlinna type space
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    Bloch type space
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