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Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of $$\mathbb C^{n}$$. (English) Zbl 1114.32003
J. Math. Anal. Appl. 326, No. 1, 88-100 (2007); corrigendum ibid. 342, No. 2, 1494 (2008).
The criteria for boundedness and compactness of weighted composition operators $$W_{\phi,\psi}:f\to\psi(f\circ\phi)$$ acting in weighted Bergman spaces or in Hardy spaces on the unit ball of $$\mathbb{C}^n$$ are obtained.

##### MSC:
 32A35 $$H^p$$-spaces, Nevanlinna spaces of functions in several complex variables 47B33 Linear composition operators 32A36 Bergman spaces of functions in several complex variables
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##### References:
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