Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space

Volume 96 / 2009

Elke Wolf Annales Polonici Mathematici 96 (2009), 43-50 MSC: 47B33, 47B38. DOI: 10.4064/ap96-1-3

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 Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.

Authors

  • Elke WolfMathematical Institute
    University of Paderborn
    D-33095 Paderborn, Germany
    e-mail

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