| 极大奇异积分算子的一个BLO估计 |
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| 引用本文： | 胡国恩,张启慧.极大奇异积分算子的一个BLO估计[J].数学进展,2007,36(1):101-107. |
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| 作者姓名： | 胡国恩 张启慧 |
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| 作者单位： | 信息工程大学应用数学系,郑州,河南,450002 |
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| 摘 要： | 本文研究以(Ω(x)/|z|n))为核的极大齐次奇异积分算子在空间BMO(R~n)上的性质,其中Ω是一个零阶齐次函数且在单位球面上均值为零．可以证明：若Ω满足某种最小尺度条件和某种L~1-Dini型正则性条件,则此极大奇异积分算子是由BMO(R~n)到BLO(R~n)的有界算子．
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| 关 键 词： | 奇异积分算子 极大算子 |
| 文章编号： | 1000-0917（2007）01-0101-07 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2005-09-26 |
A BLO Estimate for Maximal Singular Integral Operator |
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| HU Guoen,ZHANG Qihui.A BLO Estimate for Maximal Singular Integral Operator[J].Advances in Mathematics,2007,36(1):101-107. |
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| Authors: | HU Guoen ZHANG Qihui |
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| Institution: | Department of Applied Mathematics, University of Information Engineering, Zhengzhou, Henan, 450002, P. R. China |
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| Abstract: | The behavior on the space BMO(Rn)is considered for the maximal operator
associated with the homogeneous singular integral whose kernel is Ω(x)/|x|n,where Ω is homogeneous of degree zero and has mean.value zero on the unit sphere.It is proved that if Ω satisfies some minimum size condition and an L1-Dini type regularity condition,then maximal singular integral operator is bounded from BMO(Rn)to BLO(Rn). |
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| Keywords: | BMO(]Rn) BLO(Rn) BMO(Rn) BLO(Rn) singular integral operator maximal operator |
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