Littlewood-Paley算子及其交换子在变指数Herz空间上的有界性

doi:10.6040/j.issn.1671-9352.0.2015.123

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (4): 9-18.doi: 10.6040/j.issn.1671-9352.0.2015.123

Littlewood-Paley算子及其交换子在变指数Herz空间上的有界性

王杰,瞿萌,束立生

安徽师范大学数学计算机科学学院, 安徽芜湖 241003

收稿日期:2015-03-24 出版日期:2016-04-20 发布日期:2016-04-08
作者简介:王杰(1989— ), 女,硕士研究生,研究方向为调和分析. E-mail:wangjieahnu@163.com
基金资助:
国家自然科学基金资助项目(11471033);安徽省自然科学基金资助项目(1408085MA01);安徽高校省级自然科学研究重点项目(KJ2014A087)

Boundedness of the Littlewood-Paley operators and cummutators on the Herz spaces with variable exponents

WANG Jie, QU Meng, SHU Li-sheng

School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China

Received:2015-03-24 Online:2016-04-20 Published:2016-04-08

摘要/Abstract

摘要： 研究了Littlewood-Paley积分算子(包括Lusin面积积分函数,Littlewood-Paley g函数和 g^*_λ函数)及其与BMO函数生成的高阶交换子在具有两个变指数p(·),α(·)的Herz空间上的有界性, 这里p(·),α(·)均满足一定的连续性条件。

关键词: 变指数, 高阶交换子, Littlewood-Paley积分算子, Herz 空间

Abstract: The main result in the paper is the boundedness of the Littlewood-Paley integral operators(include Lusin area integral function, Littlewood-Paley g and g^*_λ)and its higher order commutators generated by BMO fucntions on the Herz spaces with two variable exponents p(·),α(·), where p(·),α(·) satisfies some continuous condition.

Key words: variable exponent, Littlewood-Paley integral operator, higher order commutator, Herz space

中图分类号:

O174.2

王杰,瞿萌,束立生. Littlewood-Paley算子及其交换子在变指数Herz空间上的有界性[J]. 山东大学学报（理学版）, 2016, 51(4): 9-18.

WANG Jie, QU Meng, SHU Li-sheng. Boundedness of the Littlewood-Paley operators and cummutators on the Herz spaces with variable exponents[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 9-18.

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Littlewood-Paley算子及其交换子在变指数Herz空间上的有界性

Boundedness of the Littlewood-Paley operators and cummutators on the Herz spaces with variable exponents

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