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Weighted estimates for the multilinear singular integral operators with non-smooth kernels

Weighted estimates for the multilinear singular integral operators with non-smooth kernels

作     者:HU GuoEn1 & LU ShanZhen2 1Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China 2Department of Mathematics, Beijing Normal University, Beijing 100875, China 

作者机构:Department of Applied Mathematics Zhengzhou Information Science and Technology Institute Zhengzhou China Department of Mathematics Beijing Normal University Beijing China 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2011年第54卷第3期

页      面:587-602页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by National Natural Science Foundation of China (Grant No. 10971228) supported by National Natural Science Foundation of China (Grant Nos. 10871024  10931001) 

主  题:多线性奇异积分算子 加权估计 非平稳 内核 加权模不等式 端点估计 函数估计 非光滑 

摘      要:In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels.

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