乘积广义局部Morrey空间上由多线性分数次积分算子生成的多重次线性算子和交换子（英文）  

Multi-sublinear Operators Generated by Multilinear Fractional Integral Operators and Commutators on the Product Generalized Local Morrey Spaces

作　　者：Ferit Gürbüz Ferit Gurbuz(Department of Mathematics Education,Faculty of Education,Hakkari University,Hakkari 30000 Turke)

机构地区：[1]哈卡里大学教育学院数学教育系,土耳其哈卡里30000

出　　处：《数学进展》2018年第6期855-880,共26页Advances in Mathematics（China）

摘　　要：本文在调和分析中大多数算子都满足的一般尺度条件下,得到了乘积广义局部Morrey空间上由多线性分数次积分算子生成的特定多重次线性算子的有界性.还证明了由局部Campanato函数和多线性分数次积分算子生成的多线性算子的交换子在乘积广义局部Morrey空间上有界.The aim of this paper is to get the boundedness of certain multi-sublinear operators generated by multilinear fractional integral operators on the product generalized local Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. We also prove that the commutators of multilinear operators generated by local campanato functions and multilinear fractional integral operators are also bounded on the product generalized local Morrey spaces.

关 键 词：多重次线性算子 多线性分数次积分算子 交换子 广义局部Morrey空间 局部Campanato空间 

分 类 号：O174.2[理学—数学]