Orlicz鞅类中极大算子的加权不等式（英文）  

WEIGHTED INEQUALITIES FOR MAXIMAL OPERATOR IN ORLICZ MARTINGALE CLASSES

作　　者：陈瑞娟 孟凡云[2] CHEN Rui-juan;MENG Fan-yun(Guangling College,Yangzhou University,Yangzhou 225002,China;School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学广陵学院,江苏扬州225002 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《数学杂志》2018年第5期771-781,共11页Journal of Mathematics

基　　金：Supported by the Natural Science Fund for Colleges and Universities in Jiangsu Province(15KJB110023);the School Foundation of Yangzhou University(2017CXJ002)

摘　　要：本文研究了极大算子的加权不等式.利用权的性质,证明了a(·)和b(·)的不等式蕴含极大算子的加权不等式,也证明了相应的逆命题.本文的结果将L log L的相关理论拓展到了加权的Orlicz鞅类中.In this paper,we study weighted inequalities for maximal operators in Orlicz martingale classes.By using the properties of weights,we obtain that inequalities of a(.)and b(.)imply weighted inequalities involving maximal operator in uniformly integral martingale classes.The converse is also considered,which extends the theory of class Llog L:

关 键 词：鞅空间 极大算子 加权不等式 正则条件 

分 类 号：O178[理学—数学]