Chordal and Angular Limits of Subordinate Subharmonic and Harmonic Functions
- Авторы: Berberyan S.1
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Учреждения:
- Institute of Mathematics and Informatics
- Выпуск: Том 40, № 8 (2019)
- Страницы: 1034-1038
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205147
- DOI: https://doi.org/10.1134/S1995080219080055
- ID: 205147
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Аннотация
In this article we consider classes of harmonic and subharmonic functions introduced with using integral operators Riman-Liouville by Professor M. Djrbashyan when α > 0. These classes are significant generalizations of already well known classes of harmonic and subharmonic functions match up with them only in a particular case. In our article we consider angular and chordal limits of harmonic and subharmonic functions got by using Riman-Liouville integral operators. A set of the points at which, probably, these limits don’t exist are characterized by using a linear measure of zero.
Об авторах
S. Berberyan
Institute of Mathematics and Informatics
Автор, ответственный за переписку.
Email: samvel357@mail.ru
Армения, Yerevan, 0051
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