On general multilinear square function with non-smooth kernels

被引：6

作者：

Hormozi, Mahdi ^{[1
]}

Si, Zengyan ^{[2
]}

Xue, Qingying ^{[3
]}

机构：

[1] Univ Gothenburg, Div Math, Dept Math Sci, S-41296 Gothenburg, Sweden

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2018年 / 149卷

基金：

中国国家自然科学基金;

关键词：

Multilinear square functions; Non-smooth kernels; Weights; WEIGHTED NORM INEQUALITIES; SINGULAR-INTEGRALS; MAXIMAL OPERATOR; COMMUTATORS;

D O I：

10.1016/j.bulsci.2018.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain some boundedness of multilinear square functions T with non-smooth kernels, which extend some known results significantly. The corresponding multilinear maximal square function T* was also introduced and weighted strong and weak type estimates for T* were given. (C) 2018 Elsevier Masson SAS. All rights reserved.

引用

页码：1 / 22

页数：22

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