Weighted composition operators on H 2 and applications

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

Operators on function spaces acting by composition to the right with a fixed selfmap φ of some set are called composition operators of symbol φ. A weighted composition operator is an operator equal to a composition operator followed by a multiplication operator. We summarize the basic properties of bounded and compact weighted composition operators on the Hilbert Hardy space on the open unit disk and use them to study composition operators on Hardy-Smirnov spaces.

Original languageEnglish (US)
Pages (from-to)169-197
Number of pages29
JournalComplex Analysis and Operator Theory
Volume2
Issue number1
DOIs
Publication statusPublished - Mar 1 2008

    Fingerprint

Keywords

  • Weighted composition operators

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this