| A note on the Marcinkiewicz integral operators on Fp^a,q |
| |
| 作者姓名： | ZHANG Chun-jie QIAN Rui-rui |
| |
| 作者单位： | [1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Sci-Tech Section, Zhejiang Sci-Tech University, Hangzhou 210018, China |
| |
| 基金项目： | Project （No. 10601046） supported by the National Natural Science Foundation of China |
| |
| 摘 要： | In this paper, we shall prove that the Marcinkiewicz integral operator #n, when its kernel Ω satisfies the L^1-Dini condition, is bounded on the Triehel-Lizorkin spaces. It is well known that the Triehel-Lizorkin spaces are generalizations of many familiar spaces such as the Lehesgue spaces and the Soholev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triehel-Lizorkin space which makes our approach more clear.
|
| 关 键 词： | 函数构造论 积分 运算符 数学 |
| 收稿时间： | 2007-03-02 |
| 修稿时间： | 2007-04-11 |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
