L1-Convergence of Double Vilenkin Series

被引：0
|
作者：
Agafonova, N. Yu. [1 ]
Volosivets, S. S. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Fac Mech & Math, Astrakhanskaya Str 83, Saratov 410012, Russia
来源：
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2023年 / 15卷 / 02期
关键词：
double Vilenkin series; L1; convergence; Sidon type inequalities; INTEGRABILITY; L1-CONVERGENCE;
D O I：
10.1134/S2070046623020024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give necessary and sufficient conditions for L-1 convergence of double Vilenkin series whose coefficients form a double null sequence of bounded variation. Also we study the existence of the special form of Riemann improper integral for sum of this series.
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页码：94 / 103
页数：10
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