Essential norm of the difference of weighted composition operators

Mikael Lindström*, Elke Wolf

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

66 Citations (Scopus)

Abstract

We study differences of weighted composition operators between weighted Banach spaces H ν of analytic functions with weighted sup-norms and give an expression for the essential norm of these differences. We apply our result to estimate the essential norm of differences of composition operators acting on Bloch-type spaces.

Original languageEnglish
Pages (from-to)133-143
Number of pages11
JournalMonatshefte fur Mathematik
Volume153
Issue number2
DOIs
Publication statusPublished - Feb 2008
MoE publication typeA1 Journal article-refereed

Keywords

  • Differences of weighted composition operators
  • Essential norm
  • Weighted Banach spaces of holomorphic functions

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