Cauchy integral and singular integral operator over closed Jordan curves

被引：0
|
作者：
Ricardo Abreu Blaya
Juan Bory Reyes
Boris Kats
机构：
[1] Universidad de Holguín,Facultad de Informática y Matemática
[2] Universidad de Oriente,Departamento de Matemática
[3] Kazan Federal University,Lobachevskii Institute of Mathematics and Mechanics
来源：
Monatshefte für Mathematik | 2015年 / 176卷
关键词：
Cauchy integral; Singular integral operator; Boundary value problem; Primary 30E20; 30E25; Secondary 45E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is mostly a review paper. It contains a description of old and recent results concerning the regularity conditions on a Jordan curve in the plane that imply the boundedness of the singular integral operator as well as the boundary behavior of the Cauchy type integral. These results are of significance for boundary value problems in domains with non-smooth and non-rectifiable boundaries.
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页码：1 / 15
页数：14
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