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

页码：104 / 116

页数：13

共 15 条

[1] WEIGHTED GENERALIZED HARDY INEQUALITIES FOR NONINCREASING FUNCTIONS
ANDERSEN, KF
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1991, 43 (06): : 1121 - 1135
[2] MAXIMAL FUNCTIONS ON CLASSICAL LORENTZ SPACES AND HARDY INEQUALITY WITH WEIGHTS FOR NONINCREASING FUNCTIONS
ARINO, MA
MUCKENHOUPT, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 320 (02) : 727 - 735
[3] HILBERT TRANSFORM ON REARRANGEMENT-INVARIANT SPACES
BOYD, DW
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1967, 19 (03): : 599 - &
[4] KREIN SG, 1982, TRANSL AM MATH MONOG, V54
[5] LAI S, WEAK STRONG TYPE INE
[6] LAI S, WEIGHTED NORM INEQUA
[7] WEIGHTED INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS OF ORDER ONE AND GREATER
MARTINREYES, FJ
SAWYER, E
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 727 - 733
[8] HARDYS INEQUALITY WITH WEIGHTS
MUCKENHOUPT, B
[J]. STUDIA MATHEMATICA, 1972, 44 (01) : 31 - +
[9] NEUGEBAUER CJ, IN PRESS WEIGHTED NO
[10] Opic B., 1990, PITMAN RESERACH NOTE, V219

← 1 2 →