ON BOUNDEDNESS AND COMPACTNESS OF DISCRETE HARDY OPERATOR IN DISCRETE WEIGHTED VARIABLE LEBESGUE SPACES

被引：0
|
作者：
Bandaliyev, Rovshan A. [1 ,2 ,3 ]
Aliyeva, Dunya R. [1 ]
机构：
[1] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
[2] Azerbaijan Univ Architecture & Construct, Baku, Azerbaijan
[3] Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 03期
关键词：
Discrete Hardy operator; weight sequences; boundedness; compactness; discrete weighted variable Lebesgue spaces; NORM INEQUALITIES;
D O I：
10.7153/jmi-2022-16-81
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors establish a two-weight boundedness criterion of discrete Hardy operator and its dual operator in the scale of discrete weighted variable Lebesgue spaces. Moreover, we study the problem of compactness of the discrete Hardy operator in discrete weighted variable Lebesgue spaces. We also study a similar problem for the dual operator of discrete Hardy operator.
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页码：1215 / +
页数：14
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