| 与一类奇异积分算子相关的Toeplitz型算子的有界性 |
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| 引用本文： | 周肖沙,刘岚喆.与一类奇异积分算子相关的Toeplitz型算子的有界性[J].数学学报,2011(6). |
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| 作者姓名： | 周肖沙 刘岚喆 |
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| 作者单位： | 长沙理工大学数学系; |
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| 基金项目： | 湖南省教育厅项目(09C057); 湖南省科技厅项目(2010SK3026)资助 |
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| 摘 要： | 对与具有一般核的分数次奇异积分算子相关的Toeplitz型算子,本文证明了其sharp极大函数不等式,作为应用,得到了该算子在Lebesgue空间,Morrey空间和Triebel-Lizorkin空间的有界性.
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| 关 键 词： | Toeplitz型算子 奇异积分算子 Sharp极大函数 |
Boundedness of Toeplitz Type Operator Associated to some Singular Integral Operator |
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| Xiao Sha ZHOU Lan Zhe LIU Changsha University of Science , Technology,Changsha ,P.R.China.Boundedness of Toeplitz Type Operator Associated to some Singular Integral Operator[J].Acta Mathematica Sinica,2011(6). |
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| Authors: | Xiao Sha ZHOU Lan Zhe LIU Changsha University of Science Technology Changsha PRChina |
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| Institution: | Xiao Sha ZHOU Lan Zhe LIU Changsha University of Science and Technology,Changsha 410077,P.R.China |
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| Abstract: | In this paper,we establish the sharp maximal function inequalities for the Toeplitz type operator associated to the fractional integral and singular integral operator with general kernel.As an application,we obtain the boundedness of the operator on Lebesgue,Morrey and Triebel-Lizorkin spaces. |
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| Keywords: | Toeplitz type operator Singular integral operator sharp maximal function |
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