| 乘子算子的Toeplitz型算子的M~2型Sharp极大函数估计和有界性 |
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| 引用本文： | 童丽娟,刘岚喆.乘子算子的Toeplitz型算子的M~2型Sharp极大函数估计和有界性[J].数学物理学报(A辑),2014,34(3):603-610. |
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| 作者姓名： | 童丽娟 刘岚喆 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | Toeplitz型算子 乘子算子 Sharp极大函数 Morrey空间 BMO函数 |
| 收稿时间： | 2012-10-24 |
| 修稿时间： | 2013-11-03 |
M2-Type Sharp Maximal Function Estimates and Boundedness for Toeplitz Type Operator Associated to Multiplier Operator |
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| TONG Li-Juan,LIU Lan-Zhe.M2-Type Sharp Maximal Function Estimates and Boundedness for Toeplitz Type Operator Associated to Multiplier Operator[J].Acta Mathematica Scientia,2014,34(3):603-610. |
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| Authors: | TONG Li-Juan LIU Lan-Zhe |
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| Institution: | 1.Hunan Mechanical and Electrical Polytechnic, Changsha 41000151;
2.College of Mathematics, Hunan University, Changsha 410077 |
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| 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. |
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| Keywords: | Toeplitz type operatorzz Multiplier operatorzz Sharp maximal functionzz Morrey spacezz BMOzz |
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