| OSCILLATORY SINGULAR INTEGRALS WITH VARIABLE ROUGH KERNEL,Ⅱ |
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| 引用本文： | TangLin YangDachun. OSCILLATORY SINGULAR INTEGRALS WITH VARIABLE ROUGH KERNEL,Ⅱ[J]. 分析论及其应用, 2003, 19(1): 1-13. DOI: 10.1007/BF02835472 |
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| 作者姓名： | TangLin YangDachun |
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| 作者单位： | BeijingNormalUniversity,China |
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| 摘 要： | Let n≥2. In this paper, the author establishes the L^2 (R^n)-boundedness of some oscillatory singular integrals with variable rough kernels by means of some estimates on hypergeometric functions and congqucnt hypergeometric funtions.
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| 关 键 词： | 摄动奇异积分 粗糙核 超几何函数 Calderon－Zygmund核 有界性 算子 球面调和函数 汇合型超几何函数 |
| 收稿时间： | 2001-10-10 |
Oscillatory singular integrals with variable rough kernel,II |
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| Tang Lin,Yang Dachun. Oscillatory singular integrals with variable rough kernel,II[J]. Analysis in Theory and Applications, 2003, 19(1): 1-13. DOI: 10.1007/BF02835472 |
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| Authors: | Tang Lin Yang Dachun |
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| Affiliation: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China |
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| Abstract: | Let n≽2. In this paper, the author establishes the L2(R n)-boundedness of some oscillatory singular integrals with variable rough kernels by means of some estimates on hypergeometric functions and confluent hypergeometric functions. Dachun Yang was supported by the Croucher Foundation Chinese Visitorships 1999–2000 of Hong Kong and the NNSF (19131080) of China. |
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| Keywords: | oscillatory singular integral variable rough kernel |
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