变指标Morrey空间上分数次极大算子及交换子的弱型估计  

Weak type estimates of fractional maximal operator and commutator on Morrey spaces with variable exponents

作　　者：徐博 陶双平 XU Bo;TAO Shuang-ping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《东北师大学报（自然科学版）》2022年第3期8-13,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11561062)。

摘　　要：利用函数分层分解方法和变指标Morrey空间的性质,得到了分数次极大算子在变指标Morrey空间上的弱型估计,同时也证明了相应的交换子在变指标Morrey空间上是弱有界的.By applying hierarchical decomposition of function and the related properties of Morrey space with variable exponent, the weak type estimates of the fractional maximal operator is obtained on Morrey spaces with variable exponent.Meanwhile, the weak boundedness is also proved for the corresponding commutator on Morrey spaces with variable exponent.

关 键 词：变指标Morrey空间 分数次极大算子 交换子 

分 类 号：O174.2[理学—数学]