变阶的多线性分数次积分算子在变指标乘积Morrey空间上的有界性  

Boundedness of Multilinear Fractional Integral Operators with Variable Order on Variable Exponent Product Morrey Space

作　　者：韦营营 杨雨荷 殷露露 张婧 Wei Yingying;Yang Yuhe;Yin Lulu;Zhang Jing(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2022年第3期1-7,共7页Journal of Yili Normal University：Natural Science Edition

基　　金：新疆维吾尔自治区自然科学基金项目(2021D01463).

摘　　要：通过变阶的分数次积分算子在变指标函数空间上的相关性质,研究了变阶的多线性分数次积分算子在变指标乘积Morrey空间上的有界性,证明了变阶的多线性分数次积分算子从变指标Morrey空间到变指标乘积Morrey空间是有界的.By means of the properties to fractional integral operators with variable order on variable exponents product Morrey space,the boundedness of multilinear fractional integral operators with variable order on Morrey product space with variable exponent is studied.It is proved that the multilinear fractional integral operator with variable order is bounded from variable exponent Morrey spaces to variable exponent product Morrey space.

关 键 词：多线性 分数次积分 变指标Morrey空间 

分 类 号：O174.2[理学—数学]