Differences of composition operators between weighted banach spaces of holomorphic functions

José Bonet*, Mikael Lindström, Elke Wolf

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

65 Citations (Scopus)

Abstract

We consider differences of composition operators between given weighted Banach spaces H∞v or H0v of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.

Original languageEnglish
Pages (from-to)9-20
Number of pages12
JournalJournal of the Australian Mathematical Society
Volume84
Issue number1
DOIs
Publication statusPublished - Feb 2008
MoE publication typeA1 Journal article-refereed

Keywords

  • Compact operators
  • Composition operators
  • Essential norm
  • Weighted Banach spaces of holomorphic functions

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