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.
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页码：737 / 750
页数：14
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