On a certain integral operator with a homogeneous kernel in the space of functions with bounded mean oscillation

被引：13

作者：

Karapetiants, NK ^{[1
]}

Gil, AV ^{[1
]}

机构：

[1] Rostov State Univ, Dept Math & Mech, Rostov Na Donu 344090, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 5-6期

关键词：

integral operator; homogeneous kernel; space of functions with bounded mean oscillation; boundedness; invertibility; Fredholmness;

D O I：

10.1080/10652460412331320368

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conditions for boundedness of integral operators with homogeneous kernel of degree - 1 in the spaces of functions with bounded mean oscillation are given. These conditions are different for finite and infinite intervals and for interior and boundary singular point x = 0. The suitable set of symbols is created to study an invertibility and Fredholmness of the operator lambda I - K.

引用

页码：423 / 435

页数：13

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