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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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On the uniqueness problem of harmonic quasiconformal mappings
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by Wei Hanbai PDF
Proc. Amer. Math. Soc. 124 (1996), 2337-2341 Request permission

Abstract:

In this paper, we give an affirmative answer to Sheretov’s problem on the uniqueness of harmonic mappings and improve the unique minimal mapping theorem of Reich and Strebel. Meanwhile, we also solve a problem posed by Reich and obtain the uniqueness theorem on related weight functions.
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Additional Information
  • Wei Hanbai
  • Affiliation: Institute of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
  • Address at time of publication: Department of Mathematics, Jiujiang Teachers College, Jiujiang, Jiangxi 332000, People’s Republic of China
  • Received by editor(s): May 24, 1994
  • Received by editor(s) in revised form: November 17, 1994
  • Communicated by: Albert Baernstein II
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2337-2341
  • MSC (1991): Primary 30C60
  • DOI: https://doi.org/10.1090/S0002-9939-96-03178-4
  • MathSciNet review: 1307523