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On some types of boundary points of harmonic functions

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Abstract

The paper deals with the Lindelöf and Fatou points of arbitrary harmonic functions defined in the unit disk. We present necessary and sufficient conditions for existence of such points on the unit circle.

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Authors and Affiliations

  1. Russian-Armenian (Slavonic) University, ul. Ovsepa Emina 123, Yerevan, 0051, Republic of Armenia

    S. L. Berberyan

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  1. S. L. Berberyan
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Correspondence to S. L. Berberyan.

Additional information

Original Russian Text © S.L. Berberyan, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 5, pp. 3–11.

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Berberyan, S.L. On some types of boundary points of harmonic functions. Russ Math. 58, 1–7 (2014). https://doi.org/10.3103/S1066369X14050016

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  • DOI: https://doi.org/10.3103/S1066369X14050016

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