Maximal operators of Walsh–Nörlund means on the dyadic Hardy spaces

被引:0
作者
U. Goginava
机构
[1] United Arab Emirates University,Department of Mathematical Sciences
来源
Acta Mathematica Hungarica | 2023年 / 169卷
关键词
Walsh system; Nörlund mean; Hardy space; weak type inequality; almost everywhere convergence; 42C10;
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摘要
We establish necessary and sufficient conditions for the maximal operator of Walsh–Nörlund means with non-increasing weights to be bounded from the dyadic Hardy space Hp(I)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{p}(\mathbb{I})$$\end{document} to the space Lp(I)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ L_{p}(\mathbb{I})$$\end{document}.
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页码:171 / 190
页数:19
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