Maximal Operators of Vilenkin–Nörlund Means

被引：0
作者：
L.-E. Persson
G. Tephnadze
P. Wall
机构：
[1] Luleå University of Technology,Department of Engineering Sciences and Mathematics
[2] Narvik University College,Department of Mathematics, Faculty of Exact and Natural Sciences
[3] Tbilisi State University,undefined
来源：
Journal of Fourier Analysis and Applications | 2015年 / 21卷
关键词：
Vilenkin system; Vilenkin group; Nörlund means; Martingale Hardy space; spaces; Maximal operator; Vilenkin–Fourier series; 42C10; 42B25;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we prove and discuss some new Hp,weak-Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( H_{p},weak-L_{p}\right) $$\end{document} type inequalities of maximal operators of Vilenkin–Nörlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin–Nörlund means. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.
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页码：76 / 94
页数：18
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