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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 with closed range on the Bloch space
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by Pratibha Ghatage, Jun Yan and Dechao Zheng PDF
Proc. Amer. Math. Soc. 129 (2001), 2039-2044 Request permission

Abstract:

In this note we investigate conditions under which a holomorphic self-map of the unit disk induces a composition operator with closed range on the Bloch space.
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Additional Information
  • Pratibha Ghatage
  • Affiliation: Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115
  • Email: ghatage@math.csuohio.edu
  • Jun Yan
  • Affiliation: Department of Mathematics, Chongqing University, Chongqing, People’s Republic of China
  • Dechao Zheng
  • Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
  • MR Author ID: 229147
  • Email: zheng@math.vanderbilt.edu
  • Received by editor(s): May 25, 1999
  • Received by editor(s) in revised form: November 12, 1999
  • Published electronically: November 30, 2000
  • Additional Notes: Supported in part by the National Science Foundation and University Research Council of Vanderbilt University.
  • Communicated by: Joseph A. Ball
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2039-2044
  • MSC (2000): Primary 46E15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05771-3
  • MathSciNet review: 1825915