Geodesic
Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space
Elke Wolf1
1 Mathematical Institute University of Paderborn D-33095 Paderborn, Germany
Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 43-50.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap96-1-3
Keywords: phi mathbb mathbb psi mathbb mathbb analytic maps induce weighted composition operator psi phi acting between weighted banach spaces holomorphic functions weighted bloch type spaces under assumptions weights necessary sufficient condition operator bounded resp compact

Elke Wolf 1

1 Mathematical Institute University of Paderborn D-33095 Paderborn, Germany 
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 and weighted Bloch type space
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Elke Wolf. Weighted composition operators between
 weighted Banach spaces  of holomorphic functions
 and weighted Bloch type space. Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 43-50. doi : 10.4064/ap96-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ap96-1-3/

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