On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 21-29
MSC: Primary 47B38; Secondary 47B33.
DOI: 10.4064/ap101-1-2
Abstract
Let $\phi: \mathbb{D} \to \mathbb{D}$ and $\psi: \mathbb{D} \to \mathbb{C}$ be analytic maps. They induce a weighted composition operator $\psi C_{\phi}$ acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions $\psi$ and $\phi$
