WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF STRONGLY SINGULAR-INTEGRALS

被引：91

作者：

GARCIACUERVA, J

HARBOURE, E

SEGOVIA, C

TORREA, JL

机构：

[1] INTEC,RA-3000 SANTA FE,ARGENTINA

[2] INST ARGENTINO MATEMAT,RA-1055 BUENOS AIRES,ARGENTINA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1991年 / 40卷 / 04期

关键词：

D O I：

10.1512/iumj.1991.40.40063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study L(p) inequalities with different but related weights for commutators of a strongly singular integral and a multiplication operator. These commutators turn out to be controlled by commutators of fractional order of the Hardy-Littlewood maximal operator. The boundedness properties of these are obtained by extrapolation from infinity.

引用

页码：1397 / 1420

页数：24

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