(Hp - Lp)-Type inequalities for subsequences of Norlund means of Walsh-Fourier series

被引：0
|
作者：
Baramidze, David [1 ,2 ]
Persson, Lars-Erik [2 ,3 ]
Tangrand, Kristoffer [2 ]
Tephnadze, George [1 ]
机构：
[1] Univ Georgia, Sch Sci & Technol, 77a Merab Kostava St, GE-0128 Tbilisi, Georgia
[2] UiT Arctic Univ Norway, Dept Comp Sci & Computat Engn, POB 385, N-8505 Narvik, Norway
[3] Karlstad Univ, Dept Math & Comp Sci, S-65188 Karlstad, Sweden
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
基金：
美国国家科学基金会;
关键词：
Walsh system; Norlund means; Cesaro means; Norlund logarithmic means; Martingale Hardy space; Convergence; Divergence; Inequalities; LOGARITHMIC MEANS; APPROXIMATION; CONVERGENCE; CESARO;
D O I：
10.1186/s13660-023-02955-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the subsequence {t2n f} of Norlund means with respect to the Walsh system generated by nonincreasing and convex sequences. In particular, we prove that a large class of such summability methods are not bounded from the martingale Hardy spaces H-p to the space weak-Lp for 0 < p < 1/(1+ alpha), where 0 < alpha < 1. Moreover, some new related inequalities are derived. As applications, some well-known and new results are pointed out for well-known summability methods, especially for Norlund logarithmic means and Cesaro means.
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页数：13
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