On Boundary Properties of Conformal Mappings

被引：0
|
作者：
Soldatov, A. P. [1 ,2 ]
机构：
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
[2] Russian Acad Sci, Inst Appl Math & Automat, Kabardino Balkar Sci Ctr, Nalchik 360002, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 09期
关键词：
conformal mapping; smooth contour; boundary properties; generalized Holder spaces;
D O I：
10.1134/S0965542524701070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classes of -smooth domains bounded by a contour that is Lyapunov outside any neighborhood of its certain point such that the derivative of a conformal mapping onto the unit disk is continuous at this point are described. The description is given in terms of some spaces for a unit tangent vector on the boundary contour. Corresponding results for piecewise smooth domains are obtained as a consequence.
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页码：2011 / 2025
页数：15
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