Bull. Korean Math. Soc. 2015; 52(4): 1383-1399
Printed July 31, 2015
https://doi.org/10.4134/BKMS.2015.52.4.1383
Copyright © The Korean Mathematical Society.
Zhi-Jie Jiang
Sichuan University of Science and Engineering
Let $\DD=\{z\in\C:|z|<1\}$ be the open unit disk in the complex plane $\C$, $\vp$ an analytic self-map of $\DD$ and $\psi$ an analytic function in $\DD$. Let $D$ be the differentiation operator and $W_{\vp,\psi}$ the weighted composition operator. The boundedness and compactness of the product-type operator $W_{\vp,\psi}D$ from the weighted Bergman-Orlicz space to the weighted Zygmund space on $\DD$ are characterized.
Keywords: weighted Bergman-Orlicz spaces, product-type operators, weight\-ed Zygmund spaces, boundedness, compactness
MSC numbers: Primary 47B38; Secondary 47B33, 47B37
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