| 积域上沿多项式曲线的奇异积分算子的Lp有界性 |
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| 引用本文： | 谢显华,黄海哨,马丽,许绍元.积域上沿多项式曲线的奇异积分算子的Lp有界性[J].江西师范大学学报(自然科学版),2010,34(3). |
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| 作者姓名： | 谢显华 黄海哨 马丽 许绍元 |
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| 作者单位： | 1. 赣南师范学院,数学与计算机科学学院,江西,赣州,341000
2. 江西现代职业技术学院,江西,南昌,330095 |
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| 摘 要： | 利用Littlewood-Paley理论和Fourier变换估计方法,减弱了奇异积分算子积分核的尺寸条件,得到了该积分算子的Lp(1/(1-β)
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| 关 键 词： | 粗糙核 多项式曲线 乘积域 Littlewood-Paley 理论 Fourier 变换估计 |
Lp Boundedness of Singular Integrals along Polynomial Curve |
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| XIE Xian-hua,HUANG Hai-shao,MA Li,XU Shao-yuan.Lp Boundedness of Singular Integrals along Polynomial Curve[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2010,34(3). |
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| Authors: | XIE Xian-hua HUANG Hai-shao MA Li XU Shao-yuan |
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| Institution: | XIE Xian-hua1,HUANG Hai-shao2,MA Li1,XU Shao-yuan1(1.School of Mathematical Science,Gannan Normal University,Ganzhou Jiangxi 341000,China,2.Jiangxi Mordern College,Nanchang Jiangxi 330095,China) |
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| Abstract: | By the theory of Littlewood-Paley and method of Fourier transform estimate,under some rather weaker size conditions for integral kernel of singular integral operator,the Lp boundedness of the operator was proved.So the conclusion of theory is extended. |
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| Keywords: | rough kernel polynomial curve product domain Littlewood-Paley theory Fourier transform estimate |
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