WEIGHTED HARDY INEQUALITIES FOR INCREASING FUNCTIONS

被引：34
|
作者：
HEINIG, HP
STEPANOV, VD
机构：
[1] MCMASTER UNIV,DEPT MATH & STAT,HAMILTON L8S 4K1,ONTARIO,CANADA
[2] UNIV ALABAMA,DEPT MATH,TUSCALOOSA,AL 35487
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1993年 / 45卷 / 01期
关键词：
WEIGHTED INEQUALITIES; HARDYS INEQUALITY;
D O I：
10.4153/CJM-1993-006-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to characterize the weight functions for which the Hardy operator (Pf)(x) = x-1 integral-x/0f(t)dt, with non-decreasing function f, is bounded between various weighted L(P)-spaces for a wide range of indices. Our characterizations complement for the most part those of E. T. Sawyer [11] and V. D. Stepanov [15] for the Hardy operator of non-increasing function.
引用
收藏
页码：104 / 116
页数：13
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