Essential norm estimates for composition operators on BMOA

Pablo Galindo*, Jussi Laitila, Mikael Lindström

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

Abstract

We provide two function-theoretic estimates for the essential norm of a composition operator Cφ acting on the space BMOA; one in terms of the n-th power φn 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 Cφ is comparable to its essential norm on the Bloch space.

Original languageEnglish
Pages (from-to)629-643
Number of pages15
JournalJournal of Functional Analysis
Volume265
Issue number4
DOIs
Publication statusPublished - 15 Aug 2013
MoE publication typeA1 Journal article-refereed

Keywords

  • BMOA
  • Bounded mean oscillation
  • Compactness
  • Composition operator
  • Essential norm
  • VMOA

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