| 振荡积分算子交换子的Lipschitz估计 |
| |
| 引用本文： | 杜红珊,张蕾.振荡积分算子交换子的Lipschitz估计[J].山东大学学报(理学版),2012,47(4):80-83. |
| |
| 作者姓名： | 杜红珊 张蕾 |
| |
| 作者单位： | 临沂大学理学院,山东临沂,276005 |
| |
| 基金项目： | 国家自然科学基金资助项目(10901076);山东省自然科学基金资助项目(Q2008A01) |
| |
| 摘 要： | 研究振荡奇异积分算子与Lipschitz函数生成交换子的加权有界性。给出光滑C-Z核的振荡奇异积分算子交换子的一个Lipschitz刻画,并得到标准C-Z核的振荡奇异积分算子与Lipschitz函数生成交换子的加权有界性。
|
| 关 键 词： | 振荡积分算子 交换子 Lipschitz函数 Calderon-Zygmund核 |
Lipschitz estimates for commutators of oscillatory integral operators |
| |
| DU Hong-shan,ZHANG Lei.Lipschitz estimates for commutators of oscillatory integral operators[J].Journal of Shandong University,2012,47(4):80-83. |
| |
| Authors: | DU Hong-shan ZHANG Lei |
| |
| Institution: | (School of Sciences,Linyi University,Linyi 276005,Shandong,China) |
| |
| Abstract: | The boundedness of commutators formed by oscillatory integral operators and Lipschitz functions is established.A Lipschitz characterization of commutators of oscillatory integral operators with smooth C-Z Kernel is given.Also,the boundedness of commutators formed by oscillatory integral operators with standard C-Z Kernel and Lipschitz functions is obtained. |
| |
| Keywords: | oscillatory integral operator commutator Lipschitz function Calderon-Zygmund kernel |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
