| 分数次Hardy算子的交换子在Lipschitz空间上的端点估计 |
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| 引用本文： | 郭庆栋,周疆.分数次Hardy算子的交换子在Lipschitz空间上的端点估计[J].西南农业大学学报,2019,41(8):41-47. |
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| 作者姓名： | 郭庆栋 周疆 |
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| 作者单位： | 新疆大学数学与系统科学学院 |
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| 基金项目： | 国家自然科学基金项目（11826202，11661075）. |
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| 摘 要： | 主要研究分数次Hardy算子和Lipschitz函数生成的交换子在Lipschitz空间上的端点估计.分数次积分算子的方法不适用于分数次Hardy算子,将给出新的方法,同时也将考虑分数次极大算子的交换子的结果.
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| 关 键 词： | 分数次Hardy算子的交换子 Lipschitz空间 端点估计 分数次极大算子 |
| 收稿时间： | 2018/3/29 0:00:00 |
Endpoint Estimates of the Commutator of Fractional Hardy Operator in the Lipschitz Space |
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| GUO Qing-dong,ZHOU Jiang.Endpoint Estimates of the Commutator of Fractional Hardy Operator in the Lipschitz Space[J].Journal of Southwest Agricultural University,2019,41(8):41-47. |
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| Authors: | GUO Qing-dong ZHOU Jiang |
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| Institution: | School of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China |
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| Abstract: | In this paper, we mainly study the endpoint estimates of the commutators generated by fractional Hardy operators with Lipschitz functions in the Lipschitz space. In addition, the method of fractional integral operator is not suitable for the fractional Hardy operator, for which this paper gives a new method. The results of commutators of fractional maximal operators are also considered. |
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| Keywords: | commutator of fractional Hardy operators Lipschitz space endpoint estimate fractional maximal operator |
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