| 向量值Littlewood—Paley算子的多线性交换子的Lipschitz函数估计 |
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| 引用本文： | 陈大钊,旷伟平.向量值Littlewood—Paley算子的多线性交换子的Lipschitz函数估计[J].怀化师专学报,2013(11):12-15. |
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| 作者姓名： | 陈大钊 旷伟平 |
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| 作者单位： | [1]邵阳学院理学与信息科学系,湖南邵阳422004 [2]怀化学院数学系,湖南怀化418008 |
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| 摘 要： | 首先证明了 Littlewood - Paley算子与Lipschitz函数生成的向量值多线性Littlewood - Paley交换子｜ g珒bΨ｜ r是从 Lp （Rn ）到 Triebel - Lizorkin空间痹Fmβ，∞p （Rn ）有界的，然后证明了交换子｜ g珒bΨ｜ r 是从Lp （Rn ）到 Lq （Rn ）有界的。
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| 关 键 词： | Littlewood—Paley算子 向量值多线性交换子 Lipschitz函数 Triebel—Lizorkin空间 |
Lipschitz Function Estimate for Vector- Valued Multilinear Commutator of Littlewood- Paley Operator |
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| CHEN Da-zhao,KUANG Wei-ping.Lipschitz Function Estimate for Vector- Valued Multilinear Commutator of Littlewood- Paley Operator[J].Journal of Huaihua Teachers College,2013(11):12-15. |
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| Authors: | CHEN Da-zhao KUANG Wei-ping |
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| Institution: | 1. Department of Science and Information Science Shaoyang University, Shaoyang, Hunan 422004 ; 2. Department of Mathematics Huaihua University, Huaihua , Hunan 418008) |
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| Abstract: | In this paper , we prove the vector-valued multilinear commutator ｜ gbΨ ｜ r is bounded from Lp （ Rn ） to Triebel -Lizorkin spaceFmβ,∞p （Rn ） ,which is generated by Littlewood - Paley operator and Lipschitz function .Then we prove the vector-valued multilinear commutator Fmβ,∞p （ Rn ） is bounded from Lp （ Rn ） to Lq （ Rn ） . |
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| Keywords: | Littlewood - Paley operator Vector - valued multilinear commutator Lipschitz functi - ons Triebel- Lizorkin space |
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