广义多线性算子在变指数空间上的有界性

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英文篇名：Boundedness of generalized multilinear operators on variable exponent spaces 作者：方小珍 ; 孙爱文 ; 王敏 ; 束立生 英文作者：FANG Xiao-zhen;SUN Ai-wen;WANG Min;SHU Li-sheng;School of Mathematics and Statistics, Anhui Normal University; 关键词：多线性算子 ; 变指数Lebesgue空间 ; 变指数Herz-Morrey空间 ; Sharp极大算子 英文关键词：multilinear operators;;variable exponent Lebesgue space;;variable exponent Herz-Morrey space;;Sharp maximal operator 中文刊名：SDDX 英文刊名：Journal of Shandong University(Natural Science) 机构：安徽师范大学数学与统计学院; 出版日期：2018-11-02 09:07 出版单位：山东大学学报(理学版) 年：2019 期：v.54 基金：安徽省高校自然科学研究资助项目(KJ2017ZD27);; 国家自然科学基金资助项目(11471033);; 安徽师范大学科研培育基金(2018XJJ93) 语种：中文; 页：SDDX201904002 页数：11 CN：04 ISSN：37-1389/N 分类号：10-20

摘要

研究多线性Littlewood-Paley算子在变指数函数空间上的有界性。基于一般的Littlewood-Paley算子g_φ在L~p空间上的有界性,利用Sharp极大算子在变指数Lebesgue空间L~(p(·))上的有界性,得到了多线性Littlewood-Paley算子在变指数Lebesgue空间以及变指数Herz-Morrey空间上是有界的。
        Boundedness of multilinear Littlewood-Paley operators on variable exponent function spaces are studied. Based on the boundedness of the general Littlewood-Paley operator g_φ on Lebesgue space, using the boundedness of Sharp maximal operator on variable Lebesgue space L~(p(·)), the boundedness of multilinear Littlewood-Paley operator on variable exponent Lebesgue space and variable exponent Herz-Morrey space are obtained.

引文

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