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J4 ›› 2012, Vol. 47 ›› Issue (4): 80-83.

• 论文 • 上一篇    下一篇

振荡积分算子交换子的Lipschitz估计*

杜红珊,张蕾   

  1. 临沂大学理学院, 山东 临沂 276005
  • 收稿日期:2011-04-08 出版日期:2012-04-20 发布日期:2012-06-28
  • 通讯作者: 张蕾(1980- ),女,硕士,讲师,研究方向为调和分析及其应用.Email:zlssg888@163.com
  • 作者简介:杜红珊(1958- ),女,教授,研究方向为调和分析及应用. Email: zlssg888@163.com
  • 基金资助:

    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)

Lipschitz estimates for commutators of oscillatory integral operators

DU Hong-shan, ZHANG Lei*   

  1. School of Sciences, Linyi University, Linyi 276005, Shandong, China
  • Received:2011-04-08 Online:2012-04-20 Published:2012-06-28

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

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.

Key words:  oscillatory integral operator; commutator; Lipschitz function; Calderon-Zygmund kernel

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