Muckenhoupt双权的一个新实变特征  

A New Real-variable Characterization of Muckenhoupt Two-weight

作　　者：吴尹慧子 马柏林[2] 叶燕玲 朱豪杰 WU Yinhuizi;MA Bolin;YE YanLing;ZHU HaoJie(School of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China;College of Data Science,Jiaxing University,Jiaxing 314001,China)

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江金华321004 [2]嘉兴学院数据科学学院,浙江嘉兴314001

出　　处：《湖州师范学院学报》2023年第4期9-13,共5页Journal of Huzhou University

基　　金：国家自然科学基金项目(11871452);嘉兴学院SRT项目(8517221099,8517211391)。

摘　　要：通过Hardy-Littlewood极大函数从加权Lebesgue空间到加权弱Morrey空间的有界性,刻画Muckenhoupt双权的实变特征.首先给出加权弱Morrey空间的定义,再考虑Muckenhoupt双权与加权弱Morrey空间之间的关系,最后证明Muckenhoupt双权的一些相关性质.In this note we characterize the Muckenhoupt two-weight via the boundedness of Hardy-Littlewood maximal function from weighted Lebesgue space to weighted weak Morrey space.We first define weighted weak Morrey space,then we consider the relationship between Muckenhoupt two-weight and weighted weak Morrey space,finally we prove some related properties of Muckenhoupt two-weight.

关 键 词：Muckenhoupt权 MORREY空间 HARDY-LITTLEWOOD极大函数 

分 类 号：O178[理学—数学]