| 齐次超曲面上测度Fourier变换的平均衰减估计 |
| |
| 引用本文： | 程美芳,张震球.齐次超曲面上测度Fourier变换的平均衰减估计[J].数学物理学报(A辑),2011,31(1):76-81. |
| |
| 作者姓名： | 程美芳 张震球 |
| |
| 作者单位： | 1.安徽师范大学数学计算机科学学院 安徽芜湖 241000|2.南开大学数学学院 天津 300071 |
| |
| 基金项目： | 国家自然科学基金(10671041, 10971039)和安徽省教育厅一般项目(KJ2008B244)资助 |
| |
| 摘 要： | 该文主要考虑限制在齐次超曲面上的测度dμ的Fourier变换的Lq范数估计. 基于此结论, 还得到了一些有关卷积算子Tf(x, θ)=f *μθ(x)的混合范数不等式.
|
| 关 键 词： | Fourier变换 混合范数 齐次超曲面 |
| 收稿时间： | 2008-05-08 |
| 修稿时间： | 2009-12-15 |
Average Decay Estimates for Fourier Transforms of Measure Supported on Homogeneous Hypersurfaces |
| |
| Cheng Meifang,Zhang Zhenqiu.Average Decay Estimates for Fourier Transforms of Measure Supported on Homogeneous Hypersurfaces[J].Acta Mathematica Scientia,2011,31(1):76-81. |
| |
| Authors: | Cheng Meifang Zhang Zhenqiu |
| |
| Institution: | 1.College of Mathematics and Computer Sciences, Anhui Normal University, Anhui Wuhu 241000|2.School of Mathematical Sciences, Nankai University, Tianjin 300071 |
| |
| Abstract: | In this paper, the authors consider average decay estimates for the Fourier transform μ of densities supported on a homogeneous hypersurface. Based on these results, the authors also obain some mixed-norm inequalities for the convolution operator defined by
Tf(x, θ)=f *μθ(x), where μθ(x) is the rotation measure. |
| |
| Keywords: | Fourier transformzz Mixed-normzz Homogeneous hypersurfacezz |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
| 点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
