数学物理学报 ›› 2014, Vol. 34 ›› Issue (3): 603-610.

• 论文 • 上一篇    下一篇

乘子算子的Toeplitz型算子的M2型Sharp极大函数估计和有界性

童丽娟1|刘岚喆2   

  1. 1.湖南机电职业技术学院 长沙 410151|2.湖南大学数学系 长沙 410082
  • 收稿日期:2012-10-24 修回日期:2013-11-03 出版日期:2014-06-25 发布日期:2014-06-25

M2-Type Sharp Maximal Function Estimates and Boundedness for Toeplitz Type Operator Associated to Multiplier Operator

 TONG Li-Juan1, LIU Lan-Zhe2   

  1. 1.Hunan Mechanical and Electrical Polytechnic, Changsha 41000151;
    2.College of Mathematics, Hunan University, Changsha 410077
  • Received:2012-10-24 Revised:2013-11-03 Online:2014-06-25 Published:2014-06-25

摘要:

该文对与乘子算子相关的Toeplitz型算子证明了其sharp极大函数估计, 做为应用, 得到了该算子在Lebesgue空间和 
Morrey空间上的有界性.

关键词: Toeplitz型算子, 乘子算子, Sharp极大函数, Morrey空间, Morrey空间, BMO 函数

Abstract:

In this paper, we establish the M2-type sharp maximal function estimates for the Toeplitz type operator associated to some multiplier operator. As an application, we obtain the boundedness of the operator on Lebesgue and Morrey spaces.

Key words: Toeplitz type operator, Multiplier operator, Sharp maximal function, Morrey space, BMO

中图分类号: 

  • 42B20