| 一类振荡奇异积分算子在Triebel-Lizorkin空间的有界性 |
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| 引用本文： | 姜丽亚,陈杰诚. 一类振荡奇异积分算子在Triebel-Lizorkin空间的有界性[J]. 高校应用数学学报(英文版), 2006, 21(1) |
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| 作者姓名： | 姜丽亚 陈杰诚 |
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| 基金项目： | 科技部科研项目 , Supported by NSFZJ , 中国科学院资助项目 |
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| 摘 要： | The boundedness on Triebel-Lizorkin spaces of oscillatory singular integral operator T in the form ei|x|aΩ(x)|x|-n is studied,where a∈R,a≠0,1 and Ω∈L1(Sn-1) is homogeneous of degree zero and satisfies certain cancellation condition.When kernel Ω(x′)∈Llog L(Sn-1),the α,qp(Rn) boundedness of the above operator is obtained.Meanwhile,when Ω(x) satisfies L1-Dini condition,the above operator Tis bounded on 0,11(Rn).
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A CLASS OF OSCILLATORY SINGULAR INTEGRALS ON TRIEBEL-LIZORKIN SPACES |
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| Jiang Liya,Chen Jiecheng. A CLASS OF OSCILLATORY SINGULAR INTEGRALS ON TRIEBEL-LIZORKIN SPACES[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(1) |
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| Authors: | Jiang Liya Chen Jiecheng |
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| Affiliation: | Dept.of Math., Zhejiang Univ.of Technology,Hangzhou 310014,China;Dept.of Math., Zhejiang Univ., Hangzhou 310028,China |
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| Abstract: | |
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| Keywords: | oscillatory singular integral Triebel-Lizorkin space |
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