APPROXIMATION BY WALSH-KACZMARZ-FEJER MEANS ON THE HARDY SPACE

被引：16
|
作者：
Tephnadze, George [1 ,2 ]
机构：
[1] Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, GE-0128 Tbilisi, Georgia
[2] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden
来源：
ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 05期
基金：
美国国家科学基金会;
关键词：
Walsh-Kaczmarz system; Fejer means; martingale Hardy space; modulus of continuity; MAXIMAL OPERATORS; NORLUND MEANS; CESARO SUMMABILITY; FOURIER-SERIES; RESPECT; CONVERGENCE;
D O I：
10.1016/S0252-9602(14)60106-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fejer means in the terms of the modulus of continuity on the Hardy spaces H-p, when 0 < p <= 1/2.
引用
收藏
页码：1593 / 1602
页数：10
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