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Journal of Function Spaces and Applications
Volume 6 (2008), Issue 3, Pages 241-258

The essential norm of a composition operator mapping into Qk type spaces

University of Joensuu, Department of Mathematics, P.O. Box 111, 80101 Joensuu, Finland

Received 1 June 2007

Academic Editor: Miroslav Engliš

Copyright © 2008 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An asymptotic formula for the essential norm of the composition operator Cφ(f):=fφ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space α or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition.