| Littlewood—Paley算子交换子的有界性 |
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| 引用本文： | 郝春燕,赵凯,李兰兰,李加锋,孙晓华.Littlewood—Paley算子交换子的有界性[J].青岛大学学报(自然科学版),2009,22(4):16-20. |
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| 作者姓名： | 郝春燕 赵凯 李兰兰 李加锋 孙晓华 |
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| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071 |
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| 摘 要： | 利用Hardy-Lorentz空间的原子分解，借助于L^q有界性的结论，使用不等式估计，证明了Littlewood—Paley算子交换子从Hardy—Lorentz空间到弱空间L^p,∞（R^n）的有界性。此结果补充了Littlewood—Paley算子交换子有界性理论。
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| 关 键 词： | Hardy-Lorentz空间 Littlewood-Paley算子 交换子 BMO(Rn)函数 |
Boundedness for Commutators of Littlewood-Paley Operators on Hardy-Lorentz Spaces |
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| HAO Chun-yan,ZHAO Kai,LI Lan-lan,LI Jia-feng,SUN Xiao-hua.Boundedness for Commutators of Littlewood-Paley Operators on Hardy-Lorentz Spaces[J].Journal of Qingdao University(Natural Science Edition),2009,22(4):16-20. |
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| Authors: | HAO Chun-yan ZHAO Kai LI Lan-lan LI Jia-feng SUN Xiao-hua |
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| Institution: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | The boundedness of commutators of Littlewood-Paley operators from certain Hardy-Lorentz spaces to L^p,∞ （R^n） space is obtained from the results of boundedness of L^q spaces by using the atomic decomposition of the Hardy-Lorentz spaces and the inequality estimates. This result complements the result of boundedness of commutators of Littlewood-Paley operators. |
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| Keywords: | Hardy-Lorentz space Littlewood-Paley operator commutator BMO（R^n） function |
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