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Norm of the composition operator from Bloch space to Bergman space. (English) Zbl 1295.32011

From the abstract: We study some quantity equivalent to the norm of composition operators from the Bloch space to \(A^{p}_{\alpha}\), where \(A^{p}_{\alpha}\) is the weighted Bergman space on the unit ball of \(\mathbb{C}^n\) (\(0<p<\infty\) and \(-1<\alpha<\infty\)).

MSC:

32A36 Bergman spaces of functions in several complex variables
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))