Chordal and Angular Limits of Subordinate Subharmonic and Harmonic Functions
- 作者: Berberyan S.1
-
隶属关系:
- Institute of Mathematics and Informatics
- 期: 卷 40, 编号 8 (2019)
- 页面: 1034-1038
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205147
- DOI: https://doi.org/10.1134/S1995080219080055
- ID: 205147
如何引用文章
详细
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.
作者简介
S. Berberyan
Institute of Mathematics and Informatics
编辑信件的主要联系方式.
Email: samvel357@mail.ru
亚美尼亚, Yerevan, 0051
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