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Weighted differentiation composition operators from the \(\alpha\)-Bloch space to the \(\alpha\)-Bloch-Orlicz space. (English) Zbl 07132642

Summary: The boundedness and the compactness of the weighted differentiation composition operators from the \(\alpha\)-Bloch space \(\mathscr{B}_\alpha\) to the \(\alpha\)-Bloch-Orlicz space \(\mathscr{B}^\varphi_\alpha\) with \(\alpha > 0\) are investigated respectively in this paper.

MSC:

47B38 Linear operators on function spaces (general)
30D45 Normal functions of one complex variable, normal families
47B33 Linear composition operators
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
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