A duality principle in weighted Sobolev spaces on the real line

被引：9
|
作者：
Eveson, Simon P. [1 ]
Stepanov, Vladimir D. [2 ,3 ]
Ushakova, Elena P. [4 ]
机构：
[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
[2] Peoples Friendship Univ Russia, Dept Math Anal & Funct Theory, Moscow 117198, Russia
[3] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
[4] Russian Acad Sci, Ctr Comp, Far Eastern Branch, Khabarovsk 680000, Russia
来源：
MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 8-9期
基金：
俄罗斯科学基金会;
关键词：
Embeddings; weighted Sobolev spaces; weighted Lebesgue spaces; duality; norm inequalities; Hardy-Steklov operator; 46E35; OPERATORS; INEQUALITIES; BOUNDEDNESS; KERNEL; SPECTRUM;
D O I：
10.1002/mana.201400019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An embedding inequality of Sobolev type is characterized in the paper with help of a duality principle and boundedness criteria for the Hardy-Steklov integral operator in weighted Lebesgue spaces.
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页码：877 / 897
页数：21
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