Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits

被引：13

作者：

Oinarov, R. ^{[1
]}

机构：

[1] Gumilev Eurasian Natl Univ, Astana, Kazakhstan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 06期

关键词：

integral operator with variable integration limits; Lebesgue space; boundedness; compactness; KERNEL;

D O I：

10.1134/S0037446611060097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering the integral operators with nonnegative kernels and variable integration limits, we obtain criteria of boundedness and compactness in weighted Lebesgue spaces under some conditions on the kernels that are weaker than those studied before.

引用

页码：1042 / 1055

页数：14

共 17 条

[1]

Batucv E.N., 1987, WEIGHTED INEQUALITIE

[2]

Batuev E. N., 1989, SIB MAT ZH, V30, P13

[3]

Batuev E.N., 1991, THESIS KHABAROVSK PO

[4] Generalized Hardy operators and normalizing measures [J].