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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Composition operators on Hardy spaces of a half-plane
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by Valentin Matache PDF
Proc. Amer. Math. Soc. 127 (1999), 1483-1491 Request permission

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.
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Additional Information
  • Valentin Matache
  • Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-2142
  • Address at time of publication: Department of Mathematics, University of Puerto Rico, P. O. Box 9018, Mayagüez, Puerto Rico 00681-9018
  • Email: matache@math.ukans.edu, matache@math.upr.clu.edu
  • Received by editor(s): September 1, 1997
  • Published electronically: January 29, 1999
  • Communicated by: David R. Larson
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1483-1491
  • MSC (1991): Primary 47B38; Secondary 47B10
  • DOI: https://doi.org/10.1090/S0002-9939-99-05060-1
  • MathSciNet review: 1625773