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

作　　者：辛银萍 陶双平 XIN Yin-ping;TAO Shuang-ping(School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730010, Gansu, China;College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China)

机构地区：[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

出　　处：《山东大学学报（理学版）》2018年第6期38-43,共6页Journal of Shandong University(Natural Science)

基　　金：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)

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。Based on the boundedness of Marcinkiewicz integrals on variable Lebesgue spaces and the atomic decomposition of Herztype 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.

关 键 词：MARCINKIEWICZ积分 变指标 HERZ型HARDY空间 

分 类 号：O174.2[理学—数学]