MAXIMAL OPERATORS OF T MEANS WITH RESPECT TO WALSH-KACZMARZ SYSTEM

被引：5

作者：

Gogolashvili, Nata ^{[1
]}

Tephnadze, George ^{[1
]}

机构：

[1] Univ Georgia, Sch Sci & Technol, 77a Merab Kostava St, GE-0128 Tbilisi, Georgia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2021年 / 24卷 / 03期

基金：

美国国家科学基金会;

关键词：

Walsh-Kaczmarz system; T means; martingale Hardy space; STRONG-CONVERGENCE THEOREM; NORLUND MEANS; FEJER MEANS; MARCINKIEWICZ MEANS; CESARO SUMMABILITY; THETA-SUMMABILITY; FOURIER SERIES; APPROXIMATION; BOUNDEDNESS;

D O I：

10.7153/mia-2021-24-51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove and discuss some new (H-p, L-p,L-infinity) type inequalities of the maximal operators of T means with monotone coefficients with respect to Walsh-Kaczmarz system. 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. In particular, we apply these results to prove a.e. convergence of such T means.

引用

页码：737 / 750

页数：14

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