Weighted composition operators on H 2 and applications

Research output: Contribution to journalArticle

31 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
StatePublished - Mar 1 2008

Keywords

  • Weighted composition operators

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Weighted composition operators on H <sup>2</sup> and applications'. Together they form a unique fingerprint.

  • Cite this