On the L1 norm of the logarithmic kernel of Walsh-Kaczmarz Fourier series

被引：0
|
作者：
Memic, Nacima [1 ]
机构：
[1] Univ Sarajevo, Dept Math, Zmaja Od Bosne 33-35, Sarajevo, Bosnia & Herceg
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 03期
关键词：
A.e; convergence; Norlund logarithmic kernels; Weakly bounded operator; PARTIAL-SUMS; EVERYWHERE CONVERGENCE; MAXIMAL OPERATORS; VILENKIN SYSTEM; RESPECT; SUBSEQUENCES;
D O I：
10.1007/s41478-022-00545-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an estimate of the L-1 norm of the Norlund logarithmic kernel of Walsh-Kaczmarz Fourier series, then deduce that some subsequences of the Norlund log-arithmic means converge almost everywhere for all integrable functions.
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页码：1939 / 1950
页数：12
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