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Essential norm estimates for composition operators on BMOA

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2013Publisher:Elsevier BVJournal:Journal of Functional Analysis, volume 265, pages 629-643 (issn: 0022-1236,

Authors: Jussi Laitila; Mikael Lindström; Pablo Galindo;

doi: 10.1016/j.jfa.2013.05.002

Essential norm estimates for composition operators on BMOA

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Abstract

Abstract We provide two function-theoretic estimates for the essential norm of a composition operator C φ acting on the space BMOA; one in terms of the n-th power φ n of the symbol φ and one which involves the Nevanlinna counting function. We also show that if the symbol φ is univalent, then the essential norm of C φ is comparable to its essential norm on the Bloch space.

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