加权变指数鞅空间的原子分解及外插理论（英文）  

Atomic Decompositions and Extrapolations of Weighted Martingale Spaces with Variable Exponents

作　　者：张传洲[1] 何志华[1] 张学英[1] ZHANG Chuanzhou;HE Zhihua;ZHANG Xueying(College of Science,Wuhan University of Science and Technology,Wuhan,Hubei,430065,P.R China)

机构地区：[1]武汉科技大学理学院,武汉湖北430065

出　　处：《数学进展》2018年第6期943-952,共10页Advances in Mathematics（China）

基　　金：supported by NSFC(Nos.11201354,61671338,11871195);Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(No.Y201511);Natural Science Foundation of Hubei Province(No.2015CFB602)

摘　　要：本文讨论加权变指数鞅空间.不仅研究几类加权变指数鞅空间的原子分解理论,而且研究当权函数属于W_(p(x))时的加权变指数鞅空间的外插理论.In this paper, we discuss the weighted martingale spaces with variable expo- nents. We establish several atomic decompositions for weighted martingale spaces with variable exponents. Moreover, we discuss the extrapolation theorems when weight function is in Wp（x）.

关 键 词：原子分解 外插 鞅空间 变指数 

分 类 号：O177[理学—数学]