Weighted L(p)-boundedness for higher order commutators of oscillatory singular integrals

被引:22
|
作者
Ding, Y [1 ]
Lu, SZ [1 ]
机构
[1] BEIJING NORMAL UNIV,DEPT MATH,BEIJING 100875,PEOPLES R CHINA
关键词
D O I
10.2748/tmj/1178225342
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper the authors study the weighted L(p)-boundedness for higher order commutators of a class of oscillatory singular integrals with rough kernel. The main result in this paper gives a necessary and sufficient condition so that this higher order commutator is bounded on the weighted L(p) space with certain weight.
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页码:437 / 449
页数:13
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