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Boundedness of normal harmonic functions

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Abstract

The boundedness of normal holomorphic functions determined in a unit circle is considered in the paper under some conditions imposed on sequences of points lying in this unit circle. An important problem of the boundedness of normal holomorphic functions was studied by V. I. Gavrilov.

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References

  1. V. I. Gavrilov, “Limits over Continuous Curves and over Sequences of Points of for Functions Being Normal Meromorphic and Generalized Meromorphic Functions in a Unit Circle,” Vestn. Mosk. Univ., Matem. Mekhan., No. 2, 30 (1964).

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Authors and Affiliations

  1. Faculty of Applied Mathematics and Computer Science, Russian-Armenian (Slavic) University, 123 Hovsep Emin str., Yerevan, 0051, Armenia

    S. L. Berberyan

Authors
  1. S. L. Berberyan
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Additional information

Original Russian Text © S. L. Berberyan, 2013, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2013, Vol. 67, No. 2, pp. 57–61.

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Berberyan, S.L. Boundedness of normal harmonic functions. Moscow Univ. Math. Bull. 68, 122–125 (2013). https://doi.org/10.3103/S0027132213020101

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  • DOI: https://doi.org/10.3103/S0027132213020101

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