论文摘要
In this article, some necessary and sufficient conditions are shown in order that weighted inequality of the form ■holds a.e. for uniformly integrable martingales f =(fn)n≥0 with some constant C > 0,where Φ1,Φ2 are Young functions, wi(i = 1,2,3, 4) are weights, f* =sup n≥0 |fn| and f∞=lim n→∞ fn a.e. As an application, two-weight weak type maximal inequalities of martingales are considered, and particularly a new equivalence condition is presented.
论文目录
文章来源
类型: 期刊论文
作者: 任颜波
来源: Acta Mathematica Scientia(English Series) 2019年02期
年度: 2019
分类: 基础科学
专业: 数学
单位: School of Mathematics and Statistics, Henan University of Science and Technology
基金: Supported by the National Natural Science Foundation of China(11871195)
分类号: O178
页码: 413-419
总页数: 7
文件大小: 311K
下载量: 12
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