ON WEIGHTED NORM INTEGRAL INEQUALITY OF G.H. HARDY'S TYPE

被引：0
|
作者：
Rauf, K. [1 ]
Omolehin, J. O. [1 ]
机构：
[1] Univ Ilorin, Dept Mat, Ilorin, Nigeria
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2006年 / 29卷
关键词：
integral inequality; Hardy's integral inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a necessary and sufficient condition on Hardy's integral inequality: integral(X) [T f](p) wd mu <= C integral(X) f(p) upsilon d mu for all f >= 0 (1) where w, upsilon are non-negative measurable functions on X, a non-negative function f defined on (0, infinity), K(x, y) is a non-negative and measurable on X x X , (T f) (x) = integral(infinity)(0) K(x, y) f(y)dy and C is a constant depending on K, p but independent of f. This work is a continuation of our recent result in [9].
引用
收藏
页码：165 / 173
页数：9
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