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Composition operators from the weighted Bergman space to the \(n\)th weighted spaces on the unit disc. (English) Zbl 1178.32003

Summary: The boundedness of the composition operator from the weighted Bergman space to the – recently introduced by the author – \(n\)th weighted space on the unit disc is characterized. Moreover, the norm of the operator in terms of the inducing function and weights is estimated.

MSC:

32A36 Bergman spaces of functions in several complex variables
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