\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^1$$\end{document}-Convergence of Double Vilenkin Series

被引：0

作者：

N. Yu. Agafonova

S. S. Volosivets

机构：

[1] Saratov State University,Faculty of Mechanics and Mathematics

来源：

关键词：

double Vilenkin series; convergence; Sidon type inequalities;

D O I：

10.1134/S2070046623020024

中图分类号：

学科分类号：

摘要：

引用

页码：94 / 103

页数：9

共 12 条

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Pepić M.(1988)Smoothness conditions and integrabilty theorems on bounded Vilenkin groups J. Austral. Math. Soc. (Ser. A) 45 46-61

[3]

Bloom W. R.(1982)A class of Trans. Amer. Math. Soc. 269 677-683

[4]

Fournier J. J. F.(1990) convergence J. Math. Anal. Appl. 146 99-109-380

[5]

Bojanic R.(1991)On the integrability and Acta Math. Hung. 57 371-138

[6]

Stanojević Č. V.(1966) convergence of Walsh series with coefficients of bounded variation Izvestiya Vuzov. Matem. 3(52) 128-35

[7]

Móricz F.(1963)On the integrability and Amer. Math. Soc. Transl. 28 1-undefined

[8]

Schipp F.(undefined)-convergence of double Walsh-Fourier series undefined undefined undefined-undefined

[9]

Móricz F.(undefined)Some properties of a class of periodic multiplicative complete orthonormal systems undefined undefined undefined-undefined

[10]

Schipp F.(undefined)On a class of complete orthonormal systems undefined undefined undefined-undefined