ALMOST EVERYWHERE CONVERGENCE OFTMEANS WITH RESPECT TOTHE VILENKIN SYSTEM OF INTEGRABLE FUNCTIONS

被引：0

作者：

Nadirashvili, N. ^{[1
]}

机构：

[1] Univ Georgia, Sch Sci & Technol, Tbilisi, Georgia

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2023年 / 75卷 / 07期

关键词：

WALSH-MARCINKIEWICZ MEANS; QUADRATICAL PARTIAL-SUMS; MAXIMAL OPERATORS; NORLUND MEANS; LOGARITHMIC MEANS; FOURIER SERIES; FEJER MEANS; APPROXIMATION; THEOREM; BOUNDEDNESS;

D O I：

10.1007/s11253-023-02247-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of T means with respect to the Vilenkin system generated by monotonic coefficients. We also apply the accumulated results to prove that these T means are almost everywhere convergent. As applications, we present both some well-known and new results.

引用

页码：1067 / 1080

页数：14

共 49 条

[1]

Agaev GN., 1981, Multiplicative Systems of Functions and Harmonic Analysis on Zero-Dimensional Groups

[2]

[Anonymous], 1992, Probability Theory and Applications, Essays to the Memory of Jozsef Mogyorodi

[3] SUR LA CONVERGENCE PRESQUE PARTOUT DES SERIES DE FOURIER-WALSH DES FONCTIONS DE LESPACE L2(0,1) [J].