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Multiple Weighted Estimates for Commutators of Multilinear Maximal Function

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文摘 Let M be the multilinear maximal function and b = (b_1,..., b_m) be a collection of locally integrable functions. Denote by M_b and [b, M] the maximal commutator and the commutator of M with b, respectively. In this paper, the multiple weighted strong and weak type estimates for operators M_b and [b, M] are studied. Some characterizations of the class of functions b_j are given, for which these operators satisfy some strong or weak type estimates.
来源 Acta Mathematica Sinica. English Series ,2015,31(6):973-994 【核心库】
DOI 10.1007/s10114-015-4293-6
关键词 Multilinear maximal function ; multiple weights ; commutator ; BMO
地址

Department of Mathematics, Mudanjiang Normal University, Mudanjiang, 157011

语种 英文
文献类型 研究性论文
ISSN 1439-8516
学科 数学
基金 Scientific Research Fund of Heilongjiang Provincial Education Department ;  国家自然科学基金 ;  the Scientific Research Fund of Mudanjiang Normal University
文献收藏号 CSCD:5421492

参考文献 共 22 共2页

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引证文献 5

1 Lin Yan Weighted Estimates for Commutators of Strongly Singular Calderon—Zygmund Operators Acta Mathematica Sinica. English Series,2016,32(11):1297-1311
CSCD被引 5

2 Sun Jie Weighted Estimates for the Iterated Commutators of Multilinear Operators with Mild Regularity Kernels Journal of Mathematical Research with Applications,2017,37(3):317-324
CSCD被引 0 次

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