MARTINGALE HARDY SPACES AND PARTIAL SUMS AND FEJeR MEANS WITH RESPECT TO THE ONE-DIMENSIONAL WALSH-FOURIER SERIES

被引：0
作者：
Tephnadze, George [1 ]
机构：
[1] Univ Georgia, Sch Sci & Technol, 77 Merab Kostava Str, GE-0171 Tbilisi, Georgia
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2023年 / 88卷
基金：
美国国家科学基金会;
关键词：
Walsh system; LP space; weak-LP space; modulus of continuity; Walsh-Fourier coefficients; Walsh-Fourier series; partial sums; Lebesgue constants; Fejer means; dyadic martingale; Hardy space; maximal operator; strong convergence; Walsh group; STRONG-CONVERGENCE THEOREM; MAXIMAL OPERATORS; LOGARITHMIC MEANS; NORLUND MEANS; CESARO MEANS; T MEANS; MARCINKIEWICZ MEANS; VILENKIN SYSTEMS; APPROXIMATION; SUMMABILITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove and discuss some new (H-P, L-P) type inequalities for partial Sums and Fejer means with respect to the Walsh 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.
引用
收藏
页码：109 / 158
页数：50
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