Computational Methods and Function Theory 7 (2007), No. 2, 501--507
Copyright Heldermann Verlag 2007
Wen Xu
wxu@cc.joensuu.fi , University of Joensuu, Department of Physics and Mathematics, P.O. Box 111, FI-80101 Joensuu, Finland.
In this paper we characterize all entire functions that transform a Bloch-type space into another by superposition in terms of their order and type or the degree of polynomials. We also prove that all superposition operators induced by such entire functions are bounded.
Keywords: Bloch-type space, superposition operator, entire function.
MSC 2000: Primary 47H30; Secondary 30D45, 30H05.
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