Cauchy integral and singular integral operator over closed Jordan curves

被引：13

作者：

Abreu Blaya, Ricardo ^{[1
]}

Bory Reyes, Juan ^{[2
]}

Kats, Boris ^{[3
]}

机构：

[1] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba

[2] Univ Oriente, Dept Matemat, Santiago De Cuba 90500, Cuba

[3] Kazan Fed Univ, Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, Russia

来源：

MONATSHEFTE FUR MATHEMATIK | 2015年 / 176卷 / 01期

关键词：

Cauchy integral; Singular integral operator; Boundary value problem; ANALYTIC CAPACITY;

D O I：

10.1007/s00605-014-0656-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1 / 15

页数：15

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