| 粗糙核超奇异积分算子的加权有界性 |
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| 引用本文： | 黄文礼,陶祥兴,李胜宏.粗糙核超奇异积分算子的加权有界性[J].应用数学和力学,2010,31(6):731-738. |
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| 作者姓名： | 黄文礼 陶祥兴 李胜宏 |
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| 作者单位： | 浙江大学 数学系,杭州 310027;2.浙江科技学院 数学系,杭州 310023 |
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| 基金项目： | 国家自然科学基金，教育部重大项目基金 |
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| 摘 要： | 利用Fourier变换和Littlewood-Paley理论,讨论了带粗糙核的超奇异积分算子的加权有界性．证明了带粗糙核的超奇异积分算子从Sobolev空间到Lebesgue空间的有界性．
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| 关 键 词： | 超奇异积分算子 粗糙核 Ap权 |
| 收稿时间： | 2009-10-27 |
Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels |
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| HUANG Wen-Li,TAO Xiang-xing,LI Sheng-hong.Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels[J].Applied Mathematics and Mechanics,2010,31(6):731-738. |
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| Authors: | HUANG Wen-Li TAO Xiang-xing LI Sheng-hong |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China; |
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| Abstract: | The Fourier trans form and Little wood-Paley theory were used to give the weighted boundedness of the strongly singular in tegraloperator. It is shown that the strongly singular integral operator is bounded from the Sobolev space to the Lebesgue space. |
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