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On some subclasses of delta-subharmonic functions with nonnegative harmonic majorants in the half-plane

  • Real and Complex Analysis
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Abstract

The paper is devoted to the construction in the half-plane, for delta-subharmonic functions, of an analog of the part of the theory of M. M. Djrbashian-V. S. Zakarian, which relates to the factorization of the ω-weighted subclasses of meromorphic functions of bounded type in the unit disc. Some ω-weighted classes of delta-subharmonic functions with bounded Tsuji type characteristics are introduced in the upper half-plane and the descriptive representations of these classes are found.

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Authors and Affiliations

  1. Institute of Mathematics, University of Antioquia, Medellin, Colombia

    A. M. Jerbashian & J. E. Restrepo

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  1. A. M. Jerbashian
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  2. J. E. Restrepo
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Correspondence to A. M. Jerbashian.

Additional information

Original Russian Text © A. M. Jerbashian, J. E. Restrepo, 2016, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2016, No. 3, pp. 9-27.

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Jerbashian, A.M., Restrepo, J.E. On some subclasses of delta-subharmonic functions with nonnegative harmonic majorants in the half-plane. J. Contemp. Mathemat. Anal. 51, 134–147 (2016). https://doi.org/10.3103/S1068362316030043

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  • DOI: https://doi.org/10.3103/S1068362316030043

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