Bulletin of the
Korean Mathematical Society BKMS

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