Estimates of essential norms of weighted composition operators between Bloch-type spaces

Olli Hyvärinen, Mikael Lindström*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

62 Citations (Scopus)

Abstract

We estimate the essential norm of weighted composition operators uC φ acting on Bloch-type spacesBα in terms of the analytic function u:D→C and the n-th power of the analytic selfmapφ of the open unit discD. We obtain new characterizations for boundedness and compactness of uCφ:Bα→Bβ for all 0<α, β<∞, thus answering an open problem of Manhas and Zhao concerning the case α=1.

Original languageEnglish
Pages (from-to)38-44
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Volume393
Issue number1
DOIs
Publication statusPublished - 1 Sep 2012
MoE publication typeA1 Journal article-refereed

Keywords

  • Essential norm
  • Bloch-type spaces
  • Weighted composition operator

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