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| 加权摩尔型Besov-Triebel空间与拟微分算子 | |
| 引用本文： | 曹勇辉,周疆.加权摩尔型Besov-Triebel空间与拟微分算子[J].云南大学学报(自然科学版),2009,31(6):552-559. |
| 作者姓名： | 曹勇辉 周疆 |
| 作者单位： | 1. 新疆大学数学与系统科学学院, 新疆乌鲁木齐 830046; 2. 湖南大学数学与计量经济学院, 湖南长沙 410082 |
| 摘 要： | 定义了加权的摩尔型Besov与Triebel-Lizorkin空间,获得了一些空间的基本性质;并且通过空间的离散特征刻画,得到了经典的拟微分算子在这类空间上是有界的. |
| 关 键 词： | 摩尔空间 权 拟微分算子 |
| 收稿时间： | 2008-9-17 |
Weighted Morrey type Besov-Triebel spaces and pseudo-differential operators |
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| CAO Yong-hui,ZHOU Jiang.Weighted Morrey type Besov-Triebel spaces and pseudo-differential operators[J].Journal of Yunnan University(Natural Sciences),2009,31(6):552-559. | |
| Authors: | CAO Yong-hui ZHOU Jiang |
| Institution: | 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China; 2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China |
| Abstract: | It is firstly defined that weighted Morrey type Besovand Lizorkin-Triebel spaces and some basic properties are given;then discrete characterization for the weighted Morrey-type Besov-Triebel spaces are studied and it is shown that pseudo-differential operators are bounded on these spaces by using discrete characterization. |
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