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| 齐型空间上两类交换子的有界性 | |
| 引用本文： | 许春蕊,郭景芳,倪志仁.齐型空间上两类交换子的有界性[J].河北科技大学学报,2008,29(2):92-95. |
| 作者姓名： | 许春蕊 郭景芳 倪志仁 |
| 作者单位： | 1. 炮兵指挥学院三系,河北廊坊,065000 2. 河北科技大学理学院,河北石家庄,050018 3. 石家庄经济学院数理学院,河北石家庄,050031 |
| 摘 要： | 在齐型空间X上引入由Lipschitz函数与Calderon-Zygmund奇异积分算子T定义的Triebel-Lizorkin空间.Fp,β∞及由分数次积分算子Iαf(x)确定的两类交换子Cf和Cfα,并证明了它们在Lebesgue函数空间的有界性。 |
| 关 键 词： | 齐型空间 Lipschitz函数 交换子 |
| 收稿时间： | 2007/12/26 0:00:00 |
Boundedness of commutators on spaces of homogeneous type |
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| XU Chun-rui,GUO Jing-fang and NI Zhi-ren.Boundedness of commutators on spaces of homogeneous type[J].Journal of Hebei University of Science and Technology,2008,29(2):92-95. | |
| Authors: | XU Chun-rui GUO Jing-fang and NI Zhi-ren |
| Institution: | The Third Department,Artillery Command Academy,Langfang Hebei 065000,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;School of Mathematics and Sciences,Shijiazhuang University of Economics,Shijiazhuang Hebei 050031,China |
| Abstract: | This paper introduces on spaces homogeneous type Triebel-Lizorkin space β,∞p which is defined by Lipschitz function and Calderon-Zygmund singular integral operator T,and it introduces two commutators Cf,Caf which are decided by fractional integral operator Iαf(x).It also proves their boundedness on Lebesgue function spaces. |
| Keywords: | spaces of homogeneous type Lipschitz function commutator |
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