WEIGHTED GENERALIZED HARDY INEQUALITIES FOR NONINCREASING FUNCTIONS

被引：25
|
作者：
ANDERSEN, KF [1 ]
机构：
[1] UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1991年 / 43卷 / 06期
关键词：
WEIGHTED INEQUALITIES; WEAK TYPE INEQUALITY; HARDY INEQUALITY;
D O I：
10.4153/CJM-1991-065-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The nonnegative weight function pairs u, v for which the operator Tf(x) = f0-infinity u(t)f(xt) dt maps the nonnegative nonincreasing functions in LP(nu) boundely into weak L(q)(u) are characterized. This result is used, in particular, both to generalize and to provide an alternate proof of certain strong type inequalities recently obtained by Arino and Muckenhoupt for the Hardy averaging operator restricted to nonnegative nonincreasing functions.
引用
收藏
页码：1121 / 1135
页数：15
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