| 一类奇异积分算子交换子的Lp有界性 |
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| 引用本文： | 原新凤,宋连义. 一类奇异积分算子交换子的Lp有界性[J]. 郑州大学学报(理学版), 2000, 32(4): 1-6 |
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| 作者姓名： | 原新凤 宋连义 |
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| 作者单位： | 1. 河南纺织高等专科学校郑州 450007
2. 河南省机械工业学校郑州 450002 |
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| 摘 要： | 研究奇异积分算子的交换子T的Lp有界性，其中b(x)＝b(｜x｜)是径向函数且b(r)∈BMO(R+)，k是自然数，Ω是Rn中的零阶齐次函数，在单位球面上的积分为零．在Ω具有某种最小可积性条件时，证明了Tb．k及其相应的极大算子是Lp(Rn)(1
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| 关 键 词： | 奇异积分；交换子；BMO(R+)；BMO(Rn) |
| 文章编号： | 1001－8212(2000)04－0001－06 |
| 修稿时间： | 2000-07-10 |
Lp Boundedness for a Class of Commutators of Singular Integral Operators |
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| YUAN Xin-feng,SONG Lian-yi. Lp Boundedness for a Class of Commutators of Singular Integral Operators[J]. Journal of Zhengzhou University(Natrual Science Edition), 2000, 32(4): 1-6 |
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| Authors: | YUAN Xin-feng SONG Lian-yi |
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| Abstract: | The Lp boundedness for the commutators of singular integral operators defined by Ω(x － y) f(y)dyis considered, where b(x)＝b(｜x｜) is radial and b(r)∈ BMO(R+),k is a positive integer, Ω ishomogeneous of degree zero and has mean value zero on the unit sphere. It is shown that the operatorTb.k and the corresponding maximal operator are bounded on Lp(Rn) with bounded C b kBMO(R+ )when Ω satisfies certain minimum size condition. |
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| Keywords: | singular integral operator commutator BMO(R+) BMO(Rn) |
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