BILINEAR WEIGHTED HARDY-TYPE INEQUALITIES IN DISCRETE AND q-CALCULUS FRAMEWORKS

被引：8

作者：

Jain, Pankaj ^{[1
]}

Kanjilal, Saikat ^{[1
]}

Shambilova, Guldarya E. ^{[2
]}

Stepanov, Vladimir D. ^{[3
,4
]}

机构：

[1] South Asian Univ, Dept Math, New Delhi 110021, India

[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Region, Russia

[3] Russian Acad Sci, Comp Ctr, Far Eastern Branch, Kim Yu Chen Str 65, Khabarovsk 680000, Russia

[4] Russian Acad Sci, Steklov Math Inst, Gubkin Str 8, Moscow 119991, Russia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Weighted Hardy inequality; bilinear Hardy-type inequalities; discrete Hardy inequality; q-calculus; Jackson integral;

D O I：

10.7153/mia-2020-23-96

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize Hardy inequality in weighted Lebesgue sequence spaces involving discrete bilinear Hardy operator (Sigma(n)(i=-infinity) a(i)) (Sigma(n)(i=-infinity) b(i)) and then we apply this information to characterize the inequality with q-bilinear Hardy operator H-q(f,g)(x) : = (integral(infinity)(0) chi((0,x]) (t) f (t) d(q)t) (integral(infinity)(0) chi((0,x]) (t) g (t) d(q)t) for all possible indices of summation.

引用

页码：1279 / 1310

页数：32

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