Research articles

Continuity of the norm of a composition operator between weighted Banach spaces of holomorphic functions

Elke Wolf

Institute of Mathematics, University of Paderborn, Paderborn, Germany

Abstract: We consider composition operators $C_\phi$ between given weighted Banach spaces of analytic functions defined on the open unit disk and explore the continuity of the map, which given an analytic self-map of the disk, takes as its value the associated composition operator resp. the norm of this operator.

Keywords and phrases: Composition operators, weighted Banach spaces of holomorphic functions, norm of a composition operator.

MSC: 47B33, 47B38

Received: 23.04.2008

Language: English

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