ESTIMATES FOR OPERATOR NORMS ON WEIGHTED SPACES AND REVERSE JENSEN INEQUALITIES

被引：239

作者：

BUCKLEY, SM ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 340卷 / 01期

关键词：

SINGULAR INTEGRAL; MAXIMAL FUNCTION; WEIGHTS;

D O I：

10.2307/2154555

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the dependence on the A(p) norm of w of the operator norms of singular integrals, maximal functions, and other operators in L(p)(w). We also examine connections between some fairly general reverse Jensen inequalities and the A(p) and RH(p) weight conditions.

引用

收藏

页码：253 / 272

页数：20

相关论文

共 18 条

[1] A GENERAL FORM OF THE COVERING PRINCIPLE AND RELATIVE DIFFERENTIATION OF ADDITIVE FUNCTIONS [J].

BESICOVITCH, AS .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1945, 41 (02) :103-110

[2] ON CONVERGENCE AND GROWTH OF PARTIAL SUMS OF FOURIER SERIES [J].

CARLESON, L .

ACTA MATHEMATICA UPPSALA, 1966, 116 (1-2) :135-&

[3] A NOTE ON WEIGHTED NORM INEQUALITIES FOR THE HARDY-LITTLEWOOD MAXIMAL OPERATOR [J].

CHRIST, M ;

FEFFERMAN, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 87 (03) :447-448

[4]

COIFMAN RR, 1974, STUD MATH, V51, P241

[5] ON THE ABSOLUTE CONTINUITY OF ELLIPTIC MEASURES [J].

DAHLBERG, BEJ .

AMERICAN JOURNAL OF MATHEMATICS, 1986, 108 (05) :1119-1138

[6]

DAHLBERG BEJ, 1979, STUD MATH, V66, P7

[7]

FEFFERMAN R, IN PRESS THEORY WEIG

[8]

Garcia-Cuerva J, 1985, MATH STUDIES

[9] LP-INTEGRABILITY OF PARTIAL DERIVATIVES OF A QUASICONFORMAL MAPPING [J].

GEHRING, FW .

ACTA MATHEMATICA, 1973, 130 (3-4) :265-277

[10] WEIGHTED NORM INEQUALITIES FOR CONJUGATE FUNCTION AND HILBERT TRANSFORM [J].

HUNT, R ;

MUCKENHOUPT, B ;

WHEEDEN, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 176 (449) :227-251