| （L^p,L^q） Estimates for Multilinear Oscillatory Singular Integralswith Smooth Phases |
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| 引用本文： | ShanZhenLU GuiPingTAO. （L^p,L^q） Estimates for Multilinear Oscillatory Singular Integralswith Smooth Phases[J]. 数学学报(英文版), 2003, 19(4): 645-654. DOI: 10.1007/s10114-003-0258-2 |
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| 作者姓名： | ShanZhenLU GuiPingTAO |
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| 作者单位： | DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,P.R.China |
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| 摘 要： | In this paper,the authors establish the weighted (L^p,L^q) estimates for a class of multilinear oscillatory singular integrals with smooth phases.Certain endpoint estimates are also considered.
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| 关 键 词： | 多重线性振荡奇异积分 光滑相 勒贝格空间 多项式相 |
| 收稿时间： | 2001-12-13 |
( L p , L q ) Estimates forMultilinear Oscillatory Singular Integrals with SmoothPhases |
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| Shan Zhen Lu and Gui Ping Tao. ( L p , L q ) Estimates forMultilinear Oscillatory Singular Integrals with SmoothPhases[J]. Acta Mathematica Sinica(English Series), 2003, 19(4): 645-654. DOI: 10.1007/s10114-003-0258-2 |
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| Authors: | Shan Zhen Lu and Gui Ping Tao |
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| Affiliation: | (1) Department of Mathematics, Beijing Normal University, Beijing, 100875, P. R. China |
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| Abstract: | Abstract In this paper, the authors establish the weighted (L p , L q ) estimates for a class of multilinear oscillatory singular integrals with smooth phases. Certain endpoint estimates are also considered. This project is supported by the National 973 Project and the SEDF of China |
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| Keywords: | Multilinear oscillatory singular integral Lebesgue space Weight BMO |
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