Weighted composition operators on H 2 and applications

Valentin Matache

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


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
Issue number1
StatePublished - Mar 2008


  • Weighted composition operators

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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