关于多线性分数次积分与加权Lipschitz函数的交换子

数学物理学报 ›› 2013, Vol. 33 ›› Issue (3): 494-509.

关于多线性分数次积分与加权Lipschitz函数的交换子

伍火熊连佳丽¹|马柏林²|伍火熊³

1.厦门大学嘉庚学院信息与计算科学系福建漳州 |363105|
2.嘉兴学院数理与信息工程学院浙江嘉兴 314001|
3.厦门大学数学科学学院福建厦门 |361005

收稿日期:2011-09-16 修回日期:2013-01-25 出版日期:2013-06-25 发布日期:2013-06-25
基金资助:
国家自然科学基金(G11071200)、福建省自然科学基金(2010J01013)、湖南省自然科学基金(09JJ5002)和浙江省自然科学基金(Y6100810)资助

On the Commutators of Multilinear Fractional Integrals with Weighted Lipschitz Functions

LIAN Jia-Li¹, MA Bo-Lin², WU Huo-Xiong³

1.Department of Information and Computational Sciences, |Xiamen University Tan Kah Kee College, Fujian Zhangzhou 363105;
2.College of Mathematics and Information Engineering, Jiaxing University, Zhejiang Jiaxing 314001;
3.School of Mathematical Sciences, Xiamen University, Fujian Xiamen 361005

Received:2011-09-16 Revised:2013-01-25 Online:2013-06-25 Published:2013-06-25
Supported by:
国家自然科学基金(G11071200)、福建省自然科学基金(2010J01013)、湖南省自然科学基金(09JJ5002)和浙江省自然科学基金(Y6100810)资助

摘要/Abstract

摘要：

研究由多线性分数次积分算子与加权Lipschitz函数生成的两类交换子在加权Lebesgue空间中的有界性, 建立了这些交换子的强型加权估计, 推广了先前的一些结果.

关键词: 多线性分数次积分, 交换子, 权, 加权Lipschitz函数, 极大函数

Abstract:

In this paper, two types of commutators generated by the multilinear fractional integrals with the weighted Lipschitz functions are studied in products of weighted Lebesgue spaces. The strong type weighted norm estimates, which extend and generalize some previous results, are obtained for such operators.

Key words: Multilinear fractional integrals, Commutators, Weights, Weighted Lipschitz functions, Maximal functions

中图分类号:

42B20

连佳丽, 马柏林, 伍火熊. 关于多线性分数次积分与加权Lipschitz函数的交换子[J]. 数学物理学报, 2013, 33(3): 494-509.

LIAN Jia-Li, MA Bo-Lin, WU Huo-Xiong. On the Commutators of Multilinear Fractional Integrals with Weighted Lipschitz Functions[J]. Acta mathematica scientia,Series A, 2013, 33(3): 494-509.

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