分数次极大算子在广义Morrey空间上的加权估计和端点估计  

Weighted and endpoint estimates of fractional maximal operator on generalized Morrey spaces

作　　者：蓝苗芳 陶双平 LAN Miao-fang;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：《西北师范大学学报(自然科学版)》2025年第2期100-103,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12361018)。

摘　　要：利用加权范数不等式和实变技巧,在一定条件下证明了分数次极大算子在广义Morrey空间上的加权有界性,同时得到了分数次极大算子在广义加权Morrey空间上的端点估计.By applying the weighted norm inequalities and real variable techniques,the weighted boundedness of the fractional maximal operator on the generalized Morrey spaces is proved under some conditions.Meanwhile,the endpoint estimates of the fractional maximal operator is also obtained on the generalized weighted Morrey spaces.

关 键 词：分数次极大算子 MORREY空间 加权有界 端点估计 

分 类 号：O174.2[理学—数学]