| Herz空间中加权HL平均算子的范数 |
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| 引用本文： | 匡继昌.Herz空间中加权HL平均算子的范数[J].北京教育学院学报(自然科学版),2008,3(1):1-8. |
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| 作者姓名： | 匡继昌 |
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| 作者单位： | 湖南师范大学数学系,长沙,410081 |
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| 摘 要： | 本文利用新的证明方法，给出了加权Hardy-Littlewood平均算子在Herz空间上有界的充分必要条件并建立了相应的新的算子范数不等式。所得到的结果是已知结果的本质改进和推广。
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| 关 键 词： | Herz空间 加权HL平均算子 范数 |
The Norm of Weighted Hardy-Littlewood Averages Operators on Herz Spaces |
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| Kuang Jichang.The Norm of Weighted Hardy-Littlewood Averages Operators on Herz Spaces[J].Journal of Beijing Institute of Education,2008,3(1):1-8. |
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| Authors: | Kuang Jichang |
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| Institution: | Kuang Jichang (Department of Mathematics, Hunan Normal University, Changsha 410081, China) |
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| Abstract: | This paper gives some necessary and sufficient conditions for the weighted Hardy-Littliwood average operators to be bounded on Herz spaces by using the new methods of proofs. Meanwhile, the corresponding new operator norms are worked out. |
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| Keywords: | weighted Hardy-Littlewood averages operator Herz spaces norm |
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