Weighted composition operators on H 2 and applications

Research output: Contribution to journalArticle

28 Citations (Scopus)

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

Fingerprint

Weighted Composition Operator
Composition Operator
Mathematical operators
Chemical analysis
Multiplication Operator
Operator
Hardy Space
Function Space
Unit Disk
Hilbert
Hilbert spaces

Keywords

  • Weighted composition operators

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Weighted composition operators on H 2 and applications. / Matache, Valentin.

In: Complex Analysis and Operator Theory, Vol. 2, No. 1, 01.03.2008, p. 169-197.

Research output: Contribution to journalArticle

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