Singular integral operators with Cauchy kernel in fractional spaces

被引：6

作者：

Bliev, NK ^{[1
]}

机构：

[1] Inst Math, Alma Ata, Kazakhstan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2006年 / 47卷 / 01期

关键词：

operator with Cauchy kernel; singular integral equation; Besov spaces; elliptic operator; projections; analytic continuation;

D O I：

10.1007/s11202-006-0003-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We single out the Besov spaces that embed into the class of continuous functions and enjoy the Fredholm theory of linear singular integral equations with Cauchy kernel. We give basic results of this theory in the class of continuous (rather than Holder continuous) functions in terms of Besov spaces. Alongside elliptic operators we consider violations of ellipticity: the degeneration of the symbol of an operator at finitely many points.

引用

页码：28 / 34

页数：7