On convergence of multiple trigonometric series with monotone coefficients

被引：1

作者：

Dzhumabaeva, D. G. ^{[1
]}

Dyachenko, M. I. ^{[2
]}

Nursultanov, E. D. ^{[3
]}

机构：

[1] Gumilev Eurasian Natl Univ, Astana, Kazakhstan

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

[3] Moscow MV Lomonosov State Univ, Kazakh Div, Astana, Kazakhstan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

multiple trigonometric series; Pringsheim convergence; Lebesgue space with mixed metric; monotone coefficients;

D O I：

10.1134/S0037446617020033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Pringsheim pointwise convergence of multiple trigonometric series. We obtain a condition on the coefficients of the series that guarantees its Pringsheim convergence and prove the unimprovability of this condition.

引用

页码：205 / 214

页数：10

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