Convergence of trigonometric series with general monotone coefficients

被引：26

作者：

Dyachenko, Mikhail ^{[1
]}

Tikhonov, Sergey

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

COMPTES RENDUS MATHEMATIQUE | 2007年 / 345卷 / 03期

关键词：

D O I：

10.1016/j.crma.2007.06.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note we study the convergence results for trigonometric series in L-p-spaces on one-dimensional and n-dimension torus. The sufficient conditions for these results to hold as well as criteria are written for the series with general monotone coefficients. The Hardy-Littlewood type theorem is obtained for multiple series. Several corollaries, in particular, u-convergence are presented.

引用

页码：123 / 126

页数：4

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