Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions
Elke Wolf,
Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany, lichte@math.uni-paderborn.de
Abstract
Let ϕ be an analytic self-map of the open unit disk in the complex plane. Such a map induces through composition a linear composition operator Cϕ: f|→foϕ. We are interested in the combination of Cϕwith the differentiation operator D, that is in the operator DCϕ: f|→ϕ′ (f′oϕ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions.
1MSC 2010: 47B33, 47B38
To cite this article
Elke Wolf, «Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 83 - Année 2014, Articles, 49 – 55 URL : https://popups.uliege.be/0037-9565/index.php?id=4313.
