WEIGHTED INEQUALITIES FOR A CLASS OF MATRIX OPERATORS: THE CASE p ≤ q

被引：0

作者：

Oinarov, Ryskul ^{[1
]}

Persson, Lars-Erik ^{[2
]}

Temirkhanova, Ainur ^{[1
]}

机构：

[1] Eurasian Natl Univ, Fac Math & Informat Technol, Astana 010008, Kazakhstan

[2] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2009年 / 12卷 / 04期

关键词：

Inequalities; discrete Hardy-type inequalities; weights; matrix operators; ELEMENTARY INEQUALITIES; HARDY INEQUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a new discrete Hardy-type inequality parallel to Af parallel to(q,u) <= C parallel to f parallel to(p,v) where the matrix operator A is defined by (Af)(i) := Sigma(i)(j=1) a(i,j)f(j), a(i,j) >= 0. Moreover, we study the problem of compactness of the operator A, and the dual result is stated.

引用

页码：891 / 903

页数：13

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