| BOUNDEDNESS OF MAXIMAL SINGULAR INTEGRALS |
| |
| 作者姓名： | CHEN Jiecheng ZHU Xiangrong |
| |
| 作者单位： | CHEN JIECHENG ZHU XIANGRONG Department of Mathematics，Zhejiang University (Xixi Campus)，Hangzhou 310028，China. Department of Mathematics，Zhejiang University (Xixi Campus)，Hangzhou 310028，China. |
| |
| 基金项目： | Project supported by the 973 Project of the Ministry of Science and Technology of China (No.G1999 075105)
the National Natural Science Foundation of China (No. 10271107)
the Research Fund for the Doctoral Program of Higher Education (No.20030335019)
the Zhejiang Provincial Natural Science Foundation of China (No.RC97017). |
| |
| 摘 要： | The authors study the singular integrals under the Hormander condition and the measure not satisfying the doubling condition. At first, if the corresponding singular integral is bounded from L2 to itself, it is proved that the maximal singular integral is bounded from L∞to RBMO except that it is infinite μ-a.e. on Rd. A sufficient condition and a necessary condition such that the maximal singular integral is bounded from L2 to itself are also obtained. There is a small gap between the two conditions.
|
| 关 键 词： | 最大单积分 RBMO Hormander条件 积分函数 |
| 收稿时间： | 5/4/2019 12:00:00 AM |
BOUNDEDNESS OF MAXIMAL SINGULAR INTEGRALS |
| |
| CHEN Jiecheng,ZHU Xiangrong.BOUNDEDNESS OF MAXIMAL SINGULAR INTEGRALS[J].Chinese Annals of Mathematics,Series B,2005,26(4):559-568. |
| |
| Authors: | CHEN Jiecheng and ZHU Xiangrong |
| |
| Institution: | Department of Mathematics, Zhejiang University (Xixi Campus), Hangzhou 310028, China.;Department of Mathematics, Zhejiang University (Xixi Campus), Hangzhou 310028, China. |
| |
| Abstract: | The authors study the singular integrals under the Hormander condition and the measure not satisfying the doubling condition. At first, if the corresponding singular integral is bounded from L2 to itseff, it is proved that the maximal singu lar integral is bounded from L∞ to RBMO except that it is infinite μ-a.e. on Rd. A sufficient condition and a necessary condition such that the maximal singular integral is bounded from L2 to itself are also obtained. There is a small gap between the two conditions. |
| |
| Keywords: | Maximal singular integral RBMO |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
