带变量核的Marcinkiewicz积分算子在变指标Herz型Hardy空间上的有界性

doi:10.6040/j.issn.1671-9352.0.2017.646

山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (6): 38-43.doi: 10.6040/j.issn.1671-9352.0.2017.646

带变量核的Marcinkiewicz积分算子在变指标Herz型Hardy空间上的有界性

辛银萍¹,陶双平²

1.兰州财经大学信息工程学院, 甘肃兰州 730010;2.西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2017-12-19 出版日期:2018-06-20 发布日期:2018-06-13
作者简介:辛银萍(1987— ), 女, 讲师, 研究方向为调和分析及其应用. E-mail:xinyp1987@163.com
基金资助:
国家自然科学基金资助项目(11561062);兰州财经大学高等教育教学改革研究重点项目(LJZ201707)

Boundedness of Marcinkiewicz integrals operators with variable kernels on Herz-type Hardy spaces with variable exponent

XIN Yin-ping¹, TAO Shuang-ping²

1. School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730010, Gansu, China;
2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2017-12-19 Online:2018-06-20 Published:2018-06-13

摘要/Abstract

摘要： 借助Marcinkiewicz积分在变指标Lebesgue空间的性质以及变指标Herz型Hardy空间上的原子分解理论,得到了带变量核的Marcinkiewicz积分算子在齐次及非齐次变指标Herz型Hardy空间上的有界性。

关键词: Herz型Hardy空间, 变指标, Marcinkiewicz积分

Abstract: Based on the boundedness of Marcinkiewicz integrals on variable Lebesgue spaces and the atomic decomposition of Herz-type Hardy spaces with variable exponent, we obtain the boundedness of Marcinkiewicz integrals with variable kernels on the homogeneous and non-homogeneous Herz-type Hardy spaces with variable exponent.

Key words: Herz-type Hardy space, variable exponent, Marcinkiewicz integrals operator

中图分类号:

O174.2

辛银萍,陶双平. 带变量核的Marcinkiewicz积分算子在变指标Herz型Hardy空间上的有界性[J]. 山东大学学报（理学版）, 2018, 53(6): 38-43.

XIN Yin-ping, TAO Shuang-ping. Boundedness of Marcinkiewicz integrals operators with variable kernels on Herz-type Hardy spaces with variable exponent[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(6): 38-43.

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带变量核的Marcinkiewicz积分算子在变指标Herz型Hardy空间上的有界性

Boundedness of Marcinkiewicz integrals operators with variable kernels on Herz-type Hardy spaces with variable exponent

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