The Essential Norm of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions

Olli Hyvärinen*, Mika Kemppainen, Mikael Lindström, Antti Rautio, Erno Saukko

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

60 Citations (Scopus)

Abstract

For a wide class of radial weights we calculate the essential norm of a weighted composition operator uCφ on the weighted Banach spaces of analytic functions in terms of the analytic function u:D → ℂ and the nth power of the analytic selfmap φ of the open unit disc D. We also apply our result to calculate the essential norm of composition operators acting on Bloch type spaces with general radial weights.

Original languageEnglish
Pages (from-to)151-157
Number of pages7
JournalIntegral Equations and Operator Theory
Volume72
Issue number2
DOIs
Publication statusPublished - Feb 2012
MoE publication typeA1 Journal article-refereed

Keywords

  • Essential norm
  • weighted composition operator

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