| 双线性Fourier乘子算子与Morrey空间 |
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| 引用本文： | 焦玉兰.双线性Fourier乘子算子与Morrey空间[J].数学研究及应用,2014,34(6):703-712. |
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| 作者姓名： | 焦玉兰 |
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| 作者单位： | 信息工程大学理学院, 河南 郑州 450001 |
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| 摘 要： | In this paper, by establishing a result concerning the mapping properties for bi(sub)linear operators on Morrey spaces, and the weighted estimates with general weights for the bilinear Fourier multiplier, the author establishes some results concerning the behavior on the product of Morrey spaces for bilinear Fourier multiplier operator with associated multiplierσ satisfying certain Sobolev regularity.
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| 关 键 词： | 双线性Fourier乘子 Morrey空间 加权模不等式. |
| 收稿时间： | 2/8/2014 12:00:00 AM |
| 修稿时间： | 2014/4/17 0:00:00 |
Bilinear Fourier Multiplier Operator on Morrey Spaces |
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| Yulan JIAO.Bilinear Fourier Multiplier Operator on Morrey Spaces[J].Journal of Mathematical Research with Applications,2014,34(6):703-712. |
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| Authors: | Yulan JIAO |
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| Institution: | School of Science, University of Information Engineering, P. O. Box 2201-160, Henan 450001, P. R. China |
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| Abstract: | In this paper, by establishing a result concerning the mapping properties for bi(sub)linear operators on Morrey spaces, and the weighted estimates with general weights for the bilinear Fourier multiplier, the author establishes some results concerning the behavior on the product of Morrey spaces for bilinear Fourier multiplier operator with associated multiplier $\sigma$ satisfying certain Sobolev regularity. |
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| Keywords: | bilinear Fourier multiplier Morrey space weighted norm inequality |
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