Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1111-1114.

• 论文 • 上一篇    

A WEIGHTED NORM INEQUALITY FOR THETA(t)-TYPE OSCILLATORY SINGULAR INTEGRALS

赵凯, 王梅, 王春杰   

  1. Department of Mathematics, Qingdao University, Qingdao 266071, P.R.China
  • 收稿日期:1999-05-20 修回日期:2002-05-16 出版日期:2002-09-18 发布日期:2002-09-18
  • 通讯作者: YUN Tian-quan
  • 基金资助:

    Foundation item:the Education Commission of Shandong Province(J98P51)

A WEIGHTED NORM INEQUALITY FOR THETA(t)-TYPE OSCILLATORY SINGULAR INTEGRALS

ZHAO Kai, WANG Mei, WANG Chun-jie   

  1. Department of Mathematics, Qingdao University, Qingdao 266071, P.R.China
  • Received:1999-05-20 Revised:2002-05-16 Online:2002-09-18 Published:2002-09-18
  • Supported by:

    Foundation item:the Education Commission of Shandong Province(J98P51)

摘要: The theta (t)-type oscillatory singular integral operators has been discussed.With the non-negative locally integrable weighted function, the weighted norm inequality of theta (t)-type oscillatory singular integral operators is proved, and the weighted function hasreplaced by action of Hardy-Littlewood maximal operators several times.

Abstract: The theta (t)-type oscillatory singular integral operators has been discussed.With the non-negative locally integrable weighted function, the weighted norm inequality of theta (t)-type oscillatory singular integral operators is proved, and the weighted function hasreplaced by action of Hardy-Littlewood maximal operators several times.

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