| 加权Lipschitz空间上的Littlewood-Paley算子 |
| |
| 引用本文： | 谭昌眉. 加权Lipschitz空间上的Littlewood-Paley算子[J]. 数学研究及应用, 2005, 25(4): 593-602 |
| |
| 作者姓名： | 谭昌眉 |
| |
| 作者单位： | 渝西学院数学系,重庆,永川,402168 |
| |
| 基金项目： | The Scienctific Research Fund of Chongqing Municipal Education Commission (021201) |
| |
| 摘 要： | 本文研究了加权Lipschitz空间上的Littlewood-Paley算子.,证明了一个加权Lipschitz 函数在Littlewood-Paley算子下的象或者几乎处处等于无穷或者仍是一个加权Lipschitz函数.
|
| 关 键 词： | Littlewood-Paley算子 加权Lipschitz空间 加发权模不等式 |
| 文章编号： | 1000-341X(2005)04-0593-10 |
| 收稿时间： | 2003-11-05 |
| 修稿时间： | 2003-11-05 |
Littlewood-Paley Operators on Weighted Lipschitz Spaces |
| |
| TAN Chang-mei. Littlewood-Paley Operators on Weighted Lipschitz Spaces[J]. Journal of Mathematical Research with Applications, 2005, 25(4): 593-602 |
| |
| Authors: | TAN Chang-mei |
| |
| Affiliation: | Dept. of Math.; Western Chongqing University; Yongchuan; China |
| |
| Abstract: | Littlewood-Paley operators, the g-function, the area integral and the function gλ*, are considered as operators on weighted Lipschitz spaces. It is proved that the image of a weighted Lipschitz function under one of these operators is either equal to infinity almost everywhere or is in weighted Lipschitz spaces. |
| |
| Keywords: | Littlewood-Paley operator weighted Lipschitz spaces weighted norm inequality. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
