Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions

José Bonet, Paweł Domański, Mikael Lindström

Research output: Contribution to journalArticleScientificpeer-review

96 Citations (Scopus)

Abstract

Every weakly compact composition operator between weighted Banach spaces Hv of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space Hv are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

Original languageEnglish
Pages (from-to)139-148
Number of pages10
JournalCanadian Mathematical Bulletin
Volume42
Issue number2
DOIs
Publication statusPublished - Jun 1999
MoE publication typeA1 Journal article-refereed

Keywords

  • Compact operator
  • Composition operator
  • Weakly compact operator
  • Weighted Banach spaces of holomorphic functions

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