MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Weighted composition operators acting between weighted Bbergman spaces and weighted Banach spaces of holomorphic functions on the unit ball
Elke Wolf

Abstract

We characterize boundedness and compactness of weighted composition operators acting between weighted Bergman spaces $A_{v,p}$ and weighted Banach spaces $H_w^{\infty}$ of holomorphic functions on the open unit ball of $C^N$, $N\geq1$. Moreover, we give a sufficient condition for such an operator acting between weighted Bergman spaces $A_{v,p}$ and $A_{w,p}$ on the unit ball to be bounded.

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Keywords: Weighted Bergman space; weighted composition operator; weighted Bergman space of infinite order.

MSC: 47B33, 47B38

Pages:  227--234     

Volume  62 ,  Issue  3 ,  2010