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Characterizations of composition operators between Bloch type spaces on the unit ball again. (Chinese. English summary) Zbl 1140.47306

Summary: In this paper, necessary and sufficient conditions are given for the composition operator \(C_\phi\) to be bounded or compact from Bloch type spaces \(\beta^p\) to \(\beta^q\) for all \(0<p<\infty\) and \(0<q<\infty\) on the unit ball of \(\mathbb C^n\). At the same time, several corollaries are obtained.

MSC:

47B33 Linear composition operators
47B38 Linear operators on function spaces (general)
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
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