| Hardy空间上的高阶交换子定理 |
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| 引用本文： | 龙顺潮. Hardy空间上的高阶交换子定理[J]. 湘潭大学自然科学学报, 2003, 25(1): 96-105 |
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| 作者姓名： | 龙顺潮 |
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| 作者单位： | 湘潭大学,数学系,湘潭,411105 |
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| 基金项目： | 国家自然科学基金资助项目 (10 10 10 2 2 )，湖南省教育厅青年基金资助项目 (99B0 3 ) |
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| 摘 要： | Coifman ,Rochberg和Weiss发现Caldero幃ｎ -Zygmund算子T与BMO函数b构成的交换子 [T ,b]的Lp 到Lp 有界性 (1
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| 关 键 词： | Hardy空间 Herz空间 交换子 Calderon-Zygmund算子 BMO |
The higher order commutator theorem on Hardy spaces |
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| LONG Shun-chao. The higher order commutator theorem on Hardy spaces[J]. Natural Science Journal of Xiangtan University, 2003, 25(1): 96-105 |
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| Authors: | LONG Shun-chao |
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| Abstract: | In this paper, the authors consider the boundedness on Hardy spaces for higher order commutator Tmb which generated by the BMO function b and the C-Z operator T, establish the boundedness theorems for Tmb from Hp,q,sb,m to Hp and from Hp,q,sb,m to Lp for 0＜p≤1, and from HK*α,p,sq,b,m into HK*α,pq and from HK*α,p,sq,b,m into K*α,pq for the certain ranges of α,p,q,s. |
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| Keywords: | Hardy space Herz space commutator calderon-Zygmund operator BMO 1991 Mathematics subject classification. Primary 42B20 Secondary 42B30 |
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