广义齐型Orlicz-Morrey空间上分数次极大算子的有界性  

Boundedness of fractional maximal operator on generalized Orlicz-Morrey spaces of homogeneous type

作　　者：刘铭 陶双平 LIU Ming;TAO Shuang-ping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,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：《山东大学学报（理学版）》2020年第7期22-31,共10页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11561062)。

摘　　要：利用极大算子的估计及齐型空间的性质,得到了分数次极大算子及交换子在广义齐型Orlicz-Morrey空间上有界的充分条件和必要条件。同时在广义齐型弱Orlicz-Morrey空间上也给出了相应的结果。By applying the estimates of the maximal operator and the properties about the spaces of homogeneous type,the necessary and sufficient conditions are given for the boundedness of the fractional maximal operator and its commutators on the generalized Orlicz-Morrey spaces of homogeneous type.The corresponding results are also given in the generalized weak Orlicz-Morrey spaces of homogeneous space.

关 键 词：广义Orlicz-Morrey空间 分数次极大算子 齐型空间 

分 类 号：O174.2[理学—数学]