两参数B值弱型Orlicz强鞅空间的强原子分解  

STRONG ATOMIC DECOMPOSITIONS OF TWO-PARAMETER B-VALUED WEAK ORLICZ STRONG MARTINGALE SPACES

作　　者：张传洲[1,2] 焦樊 李甜甜 ZHANG Chuan-zhou;JIAO Fan;LI Tian-tian(College of Science,Wuhan University of Science and Technology,Wuhan 430065,China;Hubei Province Key Laboratory of Systems Science in Metallurgical Process,Wuhan University of Science and Technology,Wuhan 430081,China)

机构地区：[1]武汉科技大学理学院,湖北武汉430065 [2]武汉科技大学冶金工业过程系统科学湖北省重点实验室,湖北武汉430081

出　　处：《数学杂志》2022年第3期217-225,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11871195)。

摘　　要：本文研究了弱Orlicz空间上的两参数B值强鞅,重点研究了两参数B值强鞅空间H^(σ)_(φ)的强原子分解定理,利用原子分解定理,给出了次线性算子||Tf||_(wLφ)≤C||f||_(wH^(σ)_(φ))有界性的充分条件,上述结果推广了弱L_(p)鞅空间的结论.In this paper,we study the two-parameter B-valued strong martingale on weak Orlicz space,with emphasis on the strong atomic decomposition theorem of two-parameter B-valued strong martingale space■,by using atomic decomposition theorem,the sufficient conditions for boundedness of sublinear operator■is given.The results as above generalize the conclusion of weak L;martingale space.

关 键 词：原子分解 弱Orlicz空间 强鞅 两参数B值鞅 

分 类 号：O177[理学—数学]