| L^2（R^n） Boundedness for the Commutators of Homogeneous Singular Integral Operators |
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| 作者姓名： | GuoEnHU BoLinMA |
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| 作者单位： | [1]DepartmentofAppliedMathematics,UniversityofInformationEngineering,P.O.Box1001-747,Zhengzhou450002,P.R.China [2]InstituteofAppliedMathematics,HunanUniversity,Changsha410082,P.R.China |
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| 摘 要： | The commutators of singular integral operators with homogeneous kernel Ω(x)/|x|^n are studied, where Ω is homogeneous of degree zero, and has mean value zero on the unit sphere. It is proved that Ω∈ L(logL)^(k 1)(S^(n-1)) is a sufficient condition such that the k-th order commutator is bounded on L^2(R^n).
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| 关 键 词： | 转接器 单一积分算子 有界平均振动 傅里叶变换 |
| 收稿时间： | 1 February 2001 |
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