Strict superharmonicity of Mityuk’s function for countably connected domains of simple structure
- 作者: Elizarov A.1, Kazantsev A.1, Kinder M.1
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隶属关系:
- Kazan (Volga Region) Federal University
- 期: 卷 38, 编号 3 (2017)
- 页面: 408-413
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199190
- DOI: https://doi.org/10.1134/S1995080217030088
- ID: 199190
如何引用文章
详细
Strict superharmonicity of generalized reduced module as a function of a point (we call it Mityuk’s function) is established for the subclass of countably connected domains with unique limit point boundary component. The function just mentioned was first studied in detail by I.P. Mityuk and plays now an important role in the research of the exterior inverse boundary value problems of the theory of analytic functions in the multiply connected domains. At the heart of such a research one can see the fact that the critical points of Mityuk’s function are only maxima, saddles or semisaddles of corresponding surface. This fact is followed from the above strict superharmonicity.
作者简介
A. Elizarov
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: amelizarov@gmail.com
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
A. Kazantsev
Kazan (Volga Region) Federal University
Email: amelizarov@gmail.com
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
M. Kinder
Kazan (Volga Region) Federal University
Email: amelizarov@gmail.com
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
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