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.
作者
Ferit Gürbüz
Ferit Gurbuz(Department of Mathematics Education,Faculty of Education,Hakkari University,Hakkari 30000 Turke)
出处
《数学进展》
CSCD
北大核心
2018年第6期855-880,共26页
Advances in Mathematics（China）
