| COMMUTATORS OF MULTIPLIERS ON HARDY SPACES |
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| 引用本文： | Pu Zhang Jiukun Hua. COMMUTATORS OF MULTIPLIERS ON HARDY SPACES[J]. 分析论及其应用, 2005, 21(3): 226-234. DOI: 10.1007/BF02836952 |
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| 作者姓名： | Pu Zhang Jiukun Hua |
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| 作者单位： | [1]Institute of Mathematics Zhejiang Sci-Tech University Hangzhou 310018 P. R. China [2]Department of Computational Science Zhejiang Gongshang University, Hangzhou 310035 P. R. China |
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| 基金项目： | Supported by the Research Funds of Zhejiang Sci-Tech University （No. 0313055-Y）. |
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| 摘 要： | Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1（R^n） into the weak L^1 （R^n） space and from certain atomic Hardy space Hb^1 （R^n） into the Lebesgue space L^1 （R^n）, when the multiplier m satisfies the conditions of Hoermander type.
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| 关 键 词： | 乘法器 转向器 Hardy空间 Hoermander条件 Lebesgue空间 |
| 收稿时间： | 2003-01-24 |
| 修稿时间： | 2004-07-01 |
Commutators of multipliers on Hardy spaces |
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| Pu Zhang,Jiukun Hua. Commutators of multipliers on Hardy spaces[J]. Analysis in Theory and Applications, 2005, 21(3): 226-234. DOI: 10.1007/BF02836952 |
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| Authors: | Pu Zhang Jiukun Hua |
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| Affiliation: | (1) Institute of Mathematics, Zhejiang Sci-Tech University, 310018 Hangzhou, P. R. China;(2) Department of Computational Science, Zhejiang Gongshang University, 310035 Hangzhou, P. R. China |
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| Abstract: | Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b, T] is bounded from the Hardy space H1 (Rn) into the weak L1 (Rn) space and from certain atomic Hardy space Hlb (Rn) into the Lebesgue space L1 (Rn), when the multiplier m satisfies the conditions of Hormander type. |
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| Keywords: | multiplier commutator Hardy space Hormander condition HARDY SPACES MULTIPLIERS conditions type Lebesgue space atomic weak bounded Hardy space paper commutator BMO function multiplier operator associated |
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