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Weighted composition operators on the Bloch space in polydiscs. (Chinese. English summary) Zbl 1096.47507

The authors give necessary and sufficient conditions for a weighted composition operator to be bounded and compact on the Bloch space of the polydisc.

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))
32A30 Other generalizations of function theory of one complex variable
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