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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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Ahlfors functions on Denjoy domains
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by Akira Yamada PDF
Proc. Amer. Math. Soc. 115 (1992), 757-763 Request permission

Abstract:

Let $\Delta$ be the open unit disc. We give a characterization of a set that is the complement in $\Delta$ of the image of the Ahlfors function for some maximal Denjoy domain and $\infty$. As a corollary, we show by an example that there exists such a set with positive logarithmic capacity.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 115 (1992), 757-763
  • MSC: Primary 30D50; Secondary 30C85
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1116275-5
  • MathSciNet review: 1116275