Hardy-Steklov Operators and the Duality Principle in Weighted First-Order Sobolev Spaces on the Real Axis

被引：3
|
作者：
Stepanov, V. D. [1 ,2 ]
Ushakova, E. P. [1 ,2 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
[2] Russian Acad Sci, Comp Ctr, Far Eastern Branch, Khabarovsk 680000, Russia
来源：
MATHEMATICAL NOTES | 2019年 / 105卷 / 1-2期
基金：
俄罗斯科学基金会;
关键词：
Sobolev space; Hardy-Steklov operator; duality principle; DECREASING FUNCTIONS; BOUNDEDNESS; CONE;
D O I：
10.1134/S0001434619010103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Estimates of the norms of spaces associated to weighted first-order Sobolev spaces with various weight functions and summation parameters are established. As the main technical tool, boundedness criteria for the Hardy-Steklov integral operator with variable limits of integration in Lebesgue spaces on the real axis are used.
引用
收藏
页码：91 / 103
页数：13
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