| 带粗糙核的奇异积分交换子的有界性 |
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| 引用本文： | 陆燕,朱月萍.带粗糙核的奇异积分交换子的有界性[J].数学杂志,2011,31(1):162-172. |
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| 作者姓名： | 陆燕 朱月萍 |
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| 作者单位： | 南通大学理学院,江苏,南通,226007 |
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| 基金项目： | 国家自然科学基金，南通大学研究生创新计划资助项目 |
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| 摘 要： | 本文研究了带粗糙核的奇异积分算子与BMO函数生成的交换子的有界性问题.利用原子分解的方法,获得了带粗糙核的奇异积分交换子TΩb在Lp空间、Hardy空间、弱Hardy空间上的有界性结果,推广了交换子Tb在各类函数空间上有界性的结果.
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| 关 键 词： | 粗糙核 奇异积分算子 交换子 Lp空间 Hardy空间 弱Hardy空间 |
BOUNDEDNESS FOR THE COMMUTATORS OF SINGULAR INTEGRAL WITH ROUGH KERNEL |
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| LU Yan,ZHU Yue-ping.BOUNDEDNESS FOR THE COMMUTATORS OF SINGULAR INTEGRAL WITH ROUGH KERNEL[J].Journal of Mathematics,2011,31(1):162-172. |
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| Authors: | LU Yan ZHU Yue-ping |
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| Institution: | LU Yan,ZHU Yue-ping (School of Science,Nantong University,Nantong 226007,China) |
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| Abstract: | We discuss the boundedness of the commutators generated by the singular integral operators with rough kernels and BMO functions. By atomic decomposition, we get that the commutators TΩb of the singular integral operators with rough kernels are bounded on Lp space, Hardy space, weak Hardy space. They are the extensions of the results of the boundedness of the commutators Tb on some kinds of function spaces. |
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| Keywords: | rough kernel singular integral operator commutator Lp space Hardy space weak Hardy space |
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