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Proceedings of the American Mathematical Society

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On asymptotic values of analytic functions on Riemann surfaces


Author: Mikio Niimura
Journal: Proc. Amer. Math. Soc. 61 (1976), 320-322
MSC: Primary 30A50
DOI: https://doi.org/10.1090/S0002-9939-1976-0447561-0
MathSciNet review: 0447561
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Abstract: Some generalizations of Lindelöf's theorems on asymptotic values of bounded analytic functions are given on subregions of Riemann surfaces.


References [Enhancements On Off] (What's this?)

  • [1] C. Constantinescu and A. Cornea, Ideale Ränder Riemannscher Flächen, Springer-Verlag. Berlin, 1963. MR 28 #3151. MR 0159935 (28:3151)
  • [2] M. Tsuji, Potential theory in modern function theory, Maruzen, Tokyo, 1959. MR 22 #5712. MR 0114894 (22:5712)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0447561-0
Keywords: Lindelöf's theorem, asymptotic value, bounded analytic function, Riemann surface, subregion
Article copyright: © Copyright 1976 American Mathematical Society

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