An elementary approach to several results on the Hardy-Littlewood maximal operator

被引：50

作者：

Lerner, Andrei K. ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 08期

关键词：

maximal operators; weights;

D O I：

10.1090/S0002-9939-08-09318-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give new elementary proofs of theorems due to B. Muckenhoupt, B. Jawerth, and S. Buckley. By means of our approach we answer a question raised by J. Orobitg and C. Perez.

引用

页码：2829 / 2833

页数：5

共 13 条

[1] ESTIMATES FOR OPERATOR NORMS ON WEIGHTED SPACES AND REVERSE JENSEN INEQUALITIES
BUCKLEY, SM
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 340 (01) : 253 - 272
[2] A NOTE ON WEIGHTED NORM INEQUALITIES FOR THE HARDY-LITTLEWOOD MAXIMAL OPERATOR
CHRIST, M
FEFFERMAN, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 87 (03) : 447 - 448
[3] COIFMAN RR, 1974, STUD MATH, V51, P241
[4] de Guzman M., 1975, LECT NOTES MATH, V481
[5] GARCIACUERVA J, 1985, N HOLLAND MATH STUD, V116
[6] HUNT R, WADSWORTH MATH SER, V1, P156
[7] WEIGHTED INEQUALITIES FOR MAXIMAL OPERATORS - LINEARIZATION, LOCALIZATION AND FACTORIZATION
JAWERTH, B
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1986, 108 (02) : 361 - 414
[8] WEIGHTED NORM INEQUALITIES FOR HARDY MAXIMAL FUNCTION
MUCKENHOUPT, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 165 (MAR) : 207 - +
[9] Ap weights for nondoubling measures in Rn and applications
Orobitg, J
Pérez, C
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (05) : 2013 - 2033
[10] SAWYER ET, 1982, STUD MATH, V75, P1

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