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Composition operators from Nevanlinna type spaces to Bloch type spaces. (English) Zbl 1269.47024

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 \(N^p(\mathbb{D})\), \(1<p<\infty\).

MSC:

47B33 Linear composition operators
30H15 Nevanlinna spaces and Smirnov spaces
30H30 Bloch spaces
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