On the Growth Rate of Arbitrary Sequences of Double Rectangular Fourier Sums

被引：1

作者：

Antonov, N. Yu. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg 620990, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2011年 / 273卷

基金：

俄罗斯基础研究基金会;

关键词：

multiple trigonometric Fourier series; almost everywhere convergence; SERIES; CONVERGENCE;

D O I：

10.1134/S0081543811050026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The theorem is proved that an arbitrary sequence {S-mk,S-nk(f, x, y)}(k=1)(infinity) of double rectangular Fourier sums of any function from the class L(ln(+) L)(2)([0, 2 pi)(2)) satisfies the relation S-mk,S-nk (f, x, y) = o(ln k) almost everywhere.

引用

页码：S14 / S20

页数：7