| 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 |
