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Elementary proofs of some asymptotic radial uniqueness theorems


Author: Robert D. Berman
Journal: Proc. Amer. Math. Soc. 86 (1982), 226-228
MSC: Primary 30D40; Secondary 31A25, 32A20
DOI: https://doi.org/10.1090/S0002-9939-1982-0667279-1
MathSciNet review: 667279
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Abstract: Elementary proofs of several generalizations of Tse's extension of an asymptotic radial uniqueness theorem of Barth and Schneider are given.


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

  • [1] K. F. Barth and W. J. Schneider, An asymptotic analog of the F. and M. Riesz radial uniqueness theorem, Proc. Amer. Math. Soc. 22 (1969), 53-54. MR 0247095 (40:364)
  • [2] T. L. Hayden and T. J. Suffridge, Biholomorphic maps in Hilbert space have a fixed point, Pacific J. Math. 38 (1971), 419-422. MR 0305158 (46:4288)
  • [3] P. J. Rippon, The boundary cluster sets of subharmonic functions, J. London Math. Soc. (2) 17 (1978), 469-479. MR 500632 (81h:30036)
  • [4] -, A radial uniqueness theorem for meromorphic functions, unpublished.
  • [5] K. F. Tse, An analog of the Lusin-Privaloff radial uniqueness theorem, Proc. Amer. Math. Soc. 25 (1970), 310-312.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0667279-1
Keywords: Asymptotic radial uniqueness, Barth-Schneider
Article copyright: © Copyright 1982 American Mathematical Society

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