| 齐次Morrey-Herz空间上交换子的有界性 |
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| 引用本文： | 陶双平,武江龙,孙小春.齐次Morrey-Herz空间上交换子的有界性[J].数学杂志,2009,29(1). |
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| 作者姓名： | 陶双平 武江龙 孙小春 |
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| 作者单位： | 1. 西北师范大学数学与信息科学学院,甘肃兰州,730070
2. 牡丹江师范学院数学系,黑龙江牡丹江,157012 |
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| 基金项目： | 国家自然科学基金，Scientific Foundation of Gansu Education Office |
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| 摘 要： | 本文研究了高阶交换子的有界性, 利用截断算子方法和函数分解技术, 在齐次Morrey-Herz空间上, 得到了由次线性算子与BMO函数生成的高阶交换子的有界性以及卷积类算子高阶交换子的有界性.
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| 关 键 词： | Lebesgue空间 幂权 交换子 齐次Morrey-Herz空间 |
BOUNDEDNESS FOR COMMUTATORS ON HOMOGENEOUS MORREY-HERZ SPACES |
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| TAO Shuang-ping,WU Jiang-long,SUN Xiao-chun.BOUNDEDNESS FOR COMMUTATORS ON HOMOGENEOUS MORREY-HERZ SPACES[J].Journal of Mathematics,2009,29(1). |
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| Authors: | TAO Shuang-ping WU Jiang-long SUN Xiao-chun |
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| Abstract: | In this paper, we study the boundedness of higher order commutators.By using the truncated operator methods and the techniques of function compositions, we not only obtain the boundedness results for higher order commutators generated by the sublinear operators and BMO functions on homogeneous Morrey-Herz spaces, but also get the boundedness for higher order commutators type of convolution operators. |
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| Keywords: | BMO(Rn) Lebesgue spaces power weight commutator BMO(Rn) Homogeneous Morrey-Herz spaces |
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