电邮这篇文章 Analogue of Kellogg’s Theorem for Piecewise Lyapunov Domains
- 作者: Soldatov A.P.1,2,3
-
隶属关系:
- Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia
- National Research University “Moscow Power Engineering Institute”
- 期: 卷 63, 编号 8 (2023)
- 页面: 1332-1342
- 栏目: Partial Differential Equations
- URL: https://journals.rcsi.science/0044-4669/article/view/136203
- DOI: https://doi.org/10.31857/S0044466923080148
- EDN: https://elibrary.ru/WTNCGU
- ID: 136203
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详细
In weighted Hölder spaces, classes of smooth arcs and piecewise smooth contours are introduced that are invariant under power mappings. The boundary properties of conformal mappings are described in terms of these classes by analogy with Kellogg’s classical theorem.
作者简介
A. Soldatov
Federal Research Center “Computer Science and Control,” Russian Academy of Sciences; Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia; National Research University “Moscow Power Engineering Institute”
编辑信件的主要联系方式.
Email: soldatov48@gmail.com
119333, Moscow, Russia; 111250, Moscow, Russia
参考
- Голузин Г.М. Геометрическая теория функций комплексного переменного. М.: Наука, 1972.
- Векуа И.Н. Обобщенные аналитические функции. 2-е изд., М.: Наука, 1988.
- Солдатов А.П. Сингулярные интегральные операторы и эллиптические краевые задачи // Современ. математика. Фундамент. направления. 2017. Т. 63. С. 1–189.
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