Composition operators on hardy spaces of a half-plane

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46 Scopus citations

Abstract

We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

Original languageEnglish (US)
Pages (from-to)1483-1491
Number of pages9
JournalProceedings of the American Mathematical Society
Volume127
Issue number5
DOIs
StatePublished - 1999

Keywords

  • Compact operator
  • Composition operator
  • Hardy space

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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