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Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces. (English) Zbl 1463.47079

Summary: In this paper, we characterize the boundedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of \(\mathbb{C}^n\).

MSC:

47B33 Linear composition operators
46E15 Banach spaces of continuous, differentiable or analytic functions
30H20 Bergman spaces and Fock spaces
30H30 Bloch spaces
32A36 Bergman spaces of functions in several complex variables
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