| 双线性分数次积分算子交换子在Triebel-Lizorkin空间上有界的充分必要条件 |
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| 引用本文： | 房成龙.双线性分数次积分算子交换子在Triebel-Lizorkin空间上有界的充分必要条件[J].西南师范大学学报(自然科学版),2019,44(12):24-30. |
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| 作者姓名： | 房成龙 |
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| 作者单位： | 伊犁师范大学 数学与统计学院, 新疆 伊宁 835000 |
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| 基金项目： | 国家自然科学基金项目（11561067，11661075）；新疆自治区自然科学基金项目（2016D01C381，2019D01C334）. |
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| 摘 要： | 首先讨论了双线性分数次积分算子与Lipschitz函数生成的线性交换子在Triebel-Lizorkin空间上的有界性.然后证明了b_1=b_2为Lipschitz函数的等价条件是双线性分数次积分算子交换子从乘积Lebesgue空间到Lebesgue空间(或Triebel-Lizorkin空间)有界.
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| 关 键 词： | 双线性分数次积分 交换子 Lipschitz函数 Triebel-Lizorkin空间 有界性 |
| 收稿时间： | 2019/5/14 0:00:00 |
Sufficient and Necessary Conditions for Commutators of Bilinear Fractional Integral Operators to Be Bounded on Triebel-Lizorkin Spaces |
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| FANG Cheng-long.Sufficient and Necessary Conditions for Commutators of Bilinear Fractional Integral Operators to Be Bounded on Triebel-Lizorkin Spaces[J].Journal of Southwest China Normal University(Natural Science),2019,44(12):24-30. |
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| Authors: | FANG Cheng-long |
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| Institution: | School of Mathematics and Statistical, Yili Normal University, Yining Xinjiang 835000, China |
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| Abstract: | In this paper, we first discuss the boundedness of linear commutators generated by bilinear fractional integral operators and Lipschitz functions on Triebel-Lizorkin spaces. Then it is proved that b1=b2 is Lipschitz function and is equivalent to the boundedness of commutator by bilinear fractional integral operators from product Lebesgue spaces to Lebesgue spaces or Triebel-Lizorkin spaces. |
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| Keywords: | bilinear fractional integral commutators Lipschitz function Triebel-Lizorkin space boundedness |
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