变指数Herz-Hardy空间上的变指标分数次积分算子及其交换子

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英文篇名：Variable Fractional Integral Operator and Its Commutator on the Herz-Hardy Space with Variable Exponent 作者：姚俊卿 ; 石卉 ; 赵凯 英文作者：YAO Jun-qing;SHI Hui;ZHAO Kai;School of Mathematics and Statistics, Qingdao University; 关键词：变指数 ; Herz-Hardy空间 ; 分数次积分算子 ; 交换子 ; 有界性 英文关键词：variable exponent;;Herz-Hardy space;;fractional integral operator;;commutator;;boundedness 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：青岛大学数学与统计学院; 出版日期：2019-06-08 出版单位：数学的实践与认识 年：2019 期：v.49 基金：国家自然科学基金(11471176) 语种：中文; 页：SSJS201911021 页数：8 CN：11 ISSN：11-2018/O1 分类号：191-198

摘要

基于变指数函数空间和分数次积分算子的一些基本性质,应用变指数Herz-Hardy空间上的原子分解定理,利用Holder不等式和Jensen不等式,证明了具有齐性核的变指标分数次积分算子及其交换子在变指数Herz-Hardy空间上的有界性.
        Based on the definitions and basic properties of the function spaces with variable exponents and the variable fractional integral operators, by the atomic decomposition of the Herz-Hardy spaces with variable exponents, using the Holder and Jensen inequalities, we proved that the boundedness of variable fractional integral operators with homogeneous kernel and its commutators on the Herz-Hardy spaces with variable exponents.

引文

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