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| Triebel-Lizorkin空间和Besov空间上关于一类带Hardy核的振荡奇异积分 | |
| 引用本文： | 牛耀明,陶双平. Triebel-Lizorkin空间和Besov空间上关于一类带Hardy核的振荡奇异积分[J]. 数学研究及应用, 2011, 31(3): 509-520. DOI: 10.3770/j.issn:1000-341X.2011.03.017 |
| 作者姓名： | 牛耀明 陶双平 |
| 作者单位： | 内蒙古包头师范学院数学科学学院, 内蒙古 包头 014030;西北师范大学数学与信息科学学院, 甘肃 兰州 730070 |
| 基金项目： | 国家自然科学基金(Grant No.11071250). |
| 摘 要： | In this paper,the boundedness is obtained on the Triebel-Lizorkin spaces and the Besov spaces for a class of oscillatory singular integrals with Hardy kernels. |
| 关 键 词： | oscillatory singular integrals Triebel-Lizorkin spaces Besov spaces Hardy kernel. |
| 收稿时间： | 2009-10-12 |
| 修稿时间： | 2010-10-03 |
A Class of Oscillatory Singular Integrals with Hardy Kernels on Triebel-Lizorkin Spaces and Besov Spaces |
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| Yao Ming NIU and Shuang Ping TAO. A Class of Oscillatory Singular Integrals with Hardy Kernels on Triebel-Lizorkin Spaces and Besov Spaces[J]. Journal of Mathematical Research with Applications, 2011, 31(3): 509-520. DOI: 10.3770/j.issn:1000-341X.2011.03.017 | |
| Authors: | Yao Ming NIU and Shuang Ping TAO |
| Affiliation: | 1. Faculty of Mathematics, Baotou teachers college, Inner Mongolia 014030, P. R. China 2. College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, P. R. China |
| Abstract: | In this paper, the boundedness is obtained on the Triebel-Lizorkin spaces and the Besov spaces for a class of oscillatory singular integrals with Hardy kernels. |
| Keywords: | oscillatory singular integrals Triebel-Lizorkin spaces Besov spaces Hardy kernel. |
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