| Hardy型空间上的面积积分交换子 |
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| 引用本文： | 何月香,陈爱清,王月山.Hardy型空间上的面积积分交换子[J].数学杂志,2011,31(5):875-880. |
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| 作者姓名： | 何月香 陈爱清 王月山 |
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| 作者单位： | 1. 焦作大学基础科学系,河南焦作,454003
2. 焦作师范高等专科学校数学系,河南焦作,454000 |
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| 摘 要： | 本文研究了面积积分交换子的端点估计.利用函数分解技术,证明了当q>1时,面积积分与LMO(R~n)(BMO(R~n)的一个子空间)函数的交换子是局部Hardy空间h1(R~n)到空间h1(R~n)+Lq(R~n)的一个连续映射,推广了Coifman,Rochberg和Weiss关于交换子的经典结果.
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| 关 键 词： | 面积积分 交换子 Hardy空间 BMO |
COMMUTATORS OF AREA INTEGRALS ON HARDY TYPE SPACES |
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| HE Yue-xiang,CHEN Ai-qing,WANG Yue-shan.COMMUTATORS OF AREA INTEGRALS ON HARDY TYPE SPACES[J].Journal of Mathematics,2011,31(5):875-880. |
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| Authors: | HE Yue-xiang CHEN Ai-qing WANG Yue-shan |
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| Institution: | HE Yue-xiang 1,CHEN Ai-qing 2,WANG Yue-shan 1 (1.Department of Basic Science,Jiaozuo University,Jiaozuo 454003,China) (2.Department of Mathematics,Jiaozuo Teachers College,Jiaozuo 454000,China) |
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| Abstract: | In this article,we investigate the end point estimate for commutator associated with the area integral and function of LMO(R~n)(a subspace of BMO space).Using the technique of function decomposition,we prove that the commutator of area integral g ψ,b is a boundedness map from local Hardy space h 1 (R n) to space h 1 (R~n)+ L q (R~n).This result is a generalization of the classic result of Coifman,Rochberg and Weiss. |
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| Keywords: | area integral commutator Hardy space BMO |
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