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.
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页码：891 / 903
页数：13
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