Littlewood-Paley多线性交换子在Hardy空间和Herz-Hardy的有界性  

Boundedness for multilinear commutator of Littlewood-Paley operator on Hardy and Herz-Hardy spaces

作　　者：陈大钊[1] 

机构地区：[1]邵阳学院理学院,湖南邵阳422000

出　　处：《邵阳学院学报（自然科学版）》2017年第4期19-24,共6页Journal of Shaoyang University：Natural Science Edition

基　　金：湖南省教育厅科学研究一般项目(15C1236)

摘　　要：由奇异积分算子构成的交换子的连续性已有较完善的结论,文章的目的是将之推广到Littlewood-Paley算子。Littlewood-Paley算子做为调和分析中十分重要的积分算子,由于它与奇异积分算子有着密切的联系,因此对它的研究是十分有意义的问题。本文引入了由Littlewood-Paley算子生成的多线性交换子,然后通过利用原子分解的方法,得到了Littlewood-Paley多线性交换子的(H_b^p,L^p))和(K_(q,b)^(α,p),K_q^(α,p))有界性。It is well known that the continuity of the commutator related to the singular integral operator has perfected results. The purpose of this paper is to extent to Littlewood-Paley operator. As an important operator in harmonic analysis,it is very instructive to study the operator because of its closed relation. In this paper,the mul-tilinear commutators of Littlewood -Paley operator are intruduced, and the （Hb^p,L^p） and （HKq,b^a,p,Kq^a,p） type boundedness for the multilinear commutator are obtained by using the atomic decompositions.

关 键 词：LITTLEWOOD-PALEY算子 多线性交换子 BMO(R^n)空间 HARDY空间 HERZ型 HARDY空间 

分 类 号：O174.3[理学—数学]