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Essential norm estimates for composition operators on BMOA

Pablo GalindoMikael LindströmJussi Laitila

subject

Bloch spacePure mathematicsMathematics::Complex VariablesComposition operator010102 general mathematicsMathematical analysis01 natural sciencesBounded mean oscillation010101 applied mathematicsCompact spaceNorm (mathematics)0101 mathematicsOperator normAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2013-08-01Journal of Functional Analysis
https://doi.org/10.1016/j.jfa.2013.05.002