L2(Rn) BOUNDEDNESS FOR COMMUTATORS OF OSCILLATORY SINGULAR INTEGRAL OPERATORS

被引:2
|
作者
Ma Bolin( Department of Applied MathematicsHu nan UniversityChangsha
机构
关键词
R~n; L~2; BOUNDEDNESS FOR COMMUTATORS OF OSCILLATORY SINGULAR INTEGRAL OPERATORS;
D O I
暂无
中图分类号
O174.41 [逼近论];
学科分类号
070104 ;
摘要
The commutators of oscillatory singular integral operators with homogeneous kernel are studied, where Ω is homogeneous of degree zero, has mean value zero on the unit sphere. It is proved that Ω∈L (logL)(k+1)(S(n-1)) is a sufficient condition under which the k-th order commutator is bounded on L2(Rn).
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页码:37 / 44
页数:8
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