弱型和强型二进制变指数鞅空间  

WEAK AND STRONG DYADIC MARTINGALE SPACES WITH VARIABLE EXPONENTS

作　　者：张传洲[1] 王久凤 张学英[1] ZHANG Chuan-zhou;WANG Jiu-feng;ZHANG Xue-ying(College of Science,Wuhan University of Science and Technology,Wuhan 430065,China)

机构地区：[1]武汉科技大学理学院,湖北武汉430065

出　　处：《数学杂志》2020年第2期165-174,共10页Journal of Mathematics

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

摘　　要：本文研究了二进制变指数强型和弱型鞅空间的原子分解理论.利用原子分解的方法,给出次线性算子T是wHps(·)s到wLp(·)有界;Cesaro算子是Hp(·)到Lp(·)有界以及是Lp(·)到Lp(·)有界.上述结论推广了常指数情况下算子有界性的结果.In this paper,we study the atomic decompositions of weak and strong dyadic martingale spaces with variable exponents.By atomic decompositions,we prove that sub linear operator T is bounded from wHp(·)s to wLp(·);Cesaro operator is bounded from Hp(·)to Lp(·)and from Lp(·)to Lp(·),which generalize the boundedness of operators in constant exponent case.

关 键 词：原子分解 变指数 CESARO算子 

分 类 号：O177[理学—数学]