| （L^p,L^q） Estimates for Multilinear Oscillatory Singular Integralswith Smooth Phases |
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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： | 13 December 2001 |
( L p , L q ) Estimates for
Multilinear Oscillatory Singular Integrals with Smooth
Phases |
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| ShanZhenLU GuiPingTAO.( L p , L q ) Estimates for
Multilinear Oscillatory Singular Integrals with Smooth
Phases[J].Acta Mathematica Sinica,2003,19(4):645-654. |
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| Authors: | Shan Zhen Lu and Gui Ping Tao |
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| Institution: | (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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