Hardy-Steklov operators and Sobolev-type embedding inequalities

被引：9

作者：

Nasyrova, M. G. ^{[1
]}

Ushakova, E. P. ^{[2
]}

机构：

[1] Russian Acad Sci, Far Eastern Branch, Ctr Comp, Ul Kim Yu Chena 65, Khabarovsk 680000, Russia

[2] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2016年 / 293卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

INTEGRAL-OPERATORS; KERNEL OPERATORS; LEBESGUE SPACES; BOUNDEDNESS; POINTS; LIMITS;

D O I：

10.1134/S0081543816040179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize weighted inequalities corresponding to the embedding of a class of absolutely continuous functions into a fractional-order Sobolev space. As auxiliary results of the paper, which are also of independent interest, we obtain several new types of necessary and sufficient conditions for the boundedness of the Hardy-Steklov operator (integral operator with two variable limits) in weighted Lebesgue spaces.

引用

页码：228 / 254

页数：27

共 32 条

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