WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF STRONGLY SINGULAR-INTEGRALS

被引：97
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.
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页码：1397 / 1420
页数：24
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