变量核Marcinkiewicz积分及其交换子在变指标Morrey空间上的有界性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1067-1075.

变量核Marcinkiewicz积分及其交换子在变指标Morrey空间上的有界性

邵旭馗^1,*(),陶双平²

¹ 陇东学院数学与统计学院甘肃庆阳 745000
² 西北师范大学数学与统计学院兰州 730070

收稿日期:2017-05-24 出版日期:2018-12-26 发布日期:2018-12-27
通讯作者: 邵旭馗 E-mail:shwangsp@126.com
基金资助:
国家自然科学基金(11561062);甘肃省高等学校科研项目(2017A-100)

Boundedness of Marcinkiewicz Integrals and Commutators with Variable Kernel on Morrey Spaces with Variable Exponents

Xukui Shao^1,*(),Shuangping Tao²

¹ School of Mathematics and Statistics, Long Dong University, Gansu Qingyang 745000
² School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070

Received:2017-05-24 Online:2018-12-26 Published:2018-12-27
Contact: Xukui Shao E-mail:shwangsp@126.com
Supported by:
the NSFC(11561062);the College Scientific Research Project of Gansu Province(2017A-100)

摘要/Abstract

摘要：

利用变量核Marcinkiewicz积分算子μ_Ω在变指标Lebesgue空间上的有界性，证明了它们在变指标Morrey空间上的有界性.同时还得到了由μ_Ω与BMO函数b生成的交换子μ_Ω^b在变指标Morrey空间上的估计.

关键词: Marcinkiewicz积分, 变指标Morrey空间, $\mathbb{R}$ⁿ)空间')"> BMO ($\mathbb{R}$ⁿ)空间, 变量核

Abstract:

In this paper, we using the boundednes results of Marcinkiewicz integrals with variable kernels μ_Ω and their commutators μ_Ω^b which generated by μ_Ω and BMO function b on Lebesgue spaces with variable exponents, the boundednes results are established on Morrey spaces with variable exponents..

Key words: Marcinkiewicz integrals, Morrey spaces with variable exponent, $\mathbb{R}$ⁿ) ')"> BMO ($\mathbb{R}$ⁿ) , Variable kernel

中图分类号:

O174.2

邵旭馗,陶双平. 变量核Marcinkiewicz积分及其交换子在变指标Morrey空间上的有界性[J]. 数学物理学报, 2018, 38(6): 1067-1075.

Xukui Shao,Shuangping Tao. Boundedness of Marcinkiewicz Integrals and Commutators with Variable Kernel on Morrey Spaces with Variable Exponents[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1067-1075.

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