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.