Weighted composition operators from reproducing Hilbert spaces to Bloch spaces

Shuichi Ohno, Karel Stroethoff

Research output: Contribution to journalArticlepeer-review

Abstract

We define weighted composition operators induced by a fixed analytic function and an analytic self-map of the open unit disk. We will consider the questions of when the weighted composition operator maps boundedly or compactly one analytic function space to another. The function spaces which we deal with are the reproducing Hilbert spaces of analytic functions on the open unit disk, the Bloch space and the little Bloch space.

Original languageEnglish
Pages (from-to)537-558
Number of pages22
JournalHouston Journal of Mathematics
Volume37
Issue number2
StatePublished - 2011

Keywords

  • Bloch spaces
  • Spaces of analytic functions
  • Weighted composition operator

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