Authors: Elke Wolf
Abstract
Let $\phi$ be an analytic self-map of the open unit disk $\mathbb{D}$ in the complex plane.
Such a map induces through composition a linear composition operator $C_{\phi}: f \mapsto f \circ \phi$.
We are interested in the combination of $C_{\phi}$ weith the differentiation operator $D$, that is in the
operator $D C_{\phi}: f \mapsto \phi' \cdot (f \circ \phi)$ acting between weighted Bergman spaces and
weighted Banach spaces of holomorphic functions.
Mathematical Institute
University of Paderborn
Warburger Str. 100
33098 Paderborn
Germany
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