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Some applications of P′-sequences in studying boundary properties of arbitrary harmonic functions

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Abstract

In this paper we study some boundary properties of functions defined in the unit disk in dependence of the location of P′-sequences on chords and horocycles. We introduce the notions of P′-chords, normal chords, P′-horocycles, and normal horocycles.

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Authors and Affiliations

  1. Russian-Armenian (Slavonic) University, ul. Ovsepa Emina 123, Yerevan, 375051, Republic of Armenia

    S. L. Berberyan

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

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Original Russian Text © S.L. Berberyan, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 9, pp. 3–9.

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Berberyan, S.L. Some applications of P′-sequences in studying boundary properties of arbitrary harmonic functions. Russ Math. 55, 1–6 (2011). https://doi.org/10.3103/S1066369X11090015

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