| Littlewood-Paley算子交换子在Herz型Hardy空间上的弱型估计(英文) |
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| 引用本文： | 瞿萌,束立生.Littlewood-Paley算子交换子在Herz型Hardy空间上的弱型估计(英文)[J].安徽师范大学学报(自然科学版),2012,35(1):7-10. |
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| 作者姓名： | 瞿萌 束立生 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖,241000 |
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| 基金项目： | Partially by National Natural Science Foundation Funds(10701010);Key University Science Research Project of Anhui Province (KJ2011A138);Ph.D.Science Research Fund of Anhui Normal University |
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| 摘 要： | 本文考虑的是由Littlewood-Paley算子和BMO函数生成的交换子的端点估计.我们证明了这些交换子是从Herz型Hardy空间H.Knq(1-1/q),p(Rn)映射到齐次弱Herz型Hardy空间.Knq(1-1/q),p,∞(Rn)上的.
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| 关 键 词： | Herz型Hardy空间 交换子 Littlewood-Paley算子 |
Weak Type Estimates for Commutators of Littlewood-Paley Operators on Herz-Type Spaces |
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| QU Meng
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SHU Li-sheng.Weak Type Estimates for Commutators of Littlewood-Paley Operators on Herz-Type Spaces[J].Journal of Anhui Normal University(Natural Science Edition),2012,35(1):7-10. |
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| Authors: | QU Meng SHU Li-sheng |
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| Institution: | (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | We consider the weak type endpoint estimate for the commutators generated by the Littlewood-Paley oerators and BMO functions. We prove that these commutators are bounded from the Herz-type Hardy spaces Hn(1-1/q),pq(Rn) to homogeneous weak Herz-type spaces n(1-1/q),p,∞q(Rn). |
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| Keywords: | Herz-type Hardy space commutator Littlewood-Paley operator |
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