A short proof of Hara and Nakai’s theorem
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- by Byung-Geun Oh
- Proc. Amer. Math. Soc. 136 (2008), 4385-4388
- DOI: https://doi.org/10.1090/S0002-9939-08-09610-X
- Published electronically: July 23, 2008
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Abstract:
We give a short proof of the following theorem of Hara and Nakai: for a finitely bordered Riemann surface $R$, one can find an upper bound of the corona constant of $R$ that depends only on the genus and the number of boundary components of $R$.References
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Bibliographic Information
- Byung-Geun Oh
- Affiliation: Department of Mathematics Education, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, Korea
- Email: bgoh@hanyang.ac.kr
- Received by editor(s): November 14, 2007
- Published electronically: July 23, 2008
- Additional Notes: This work was supported by the research fund of Hanyang University (HY-2007-000-0000-4844).
- Communicated by: Mario Bonk
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 4385-4388
- MSC (2000): Primary 30H05, 30D55
- DOI: https://doi.org/10.1090/S0002-9939-08-09610-X
- MathSciNet review: 2431053