WEIGHTED HARDY INEQUALITIES FOR INCREASING FUNCTIONS

被引：35

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

页码：104 / 116

页数：13

共 15 条

[1] WEIGHTED GENERALIZED HARDY INEQUALITIES FOR NONINCREASING FUNCTIONS [J].