On the Kolmogorov Theorems on Fourier Series and Conjugate Functions

被引：1
|
作者：
Filippov, V. I. [1 ]
机构：
[1] Saratov State Social Econ Univ, Ul Radischcheva 89, Saratov 410003, Russia
来源：
RUSSIAN MATHEMATICS | 2012年 / 56卷 / 07期
关键词：
Fourier series; conjugate functions; generalized Orlicz spaces; classes phi(L);
D O I：
10.3103/S1066369X12070031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider Fourier series of summable functions from spaces "wider" than L-1. We describe classes phi(L) which contain conjugate functions, where their conjugate Fourier series converge. The obtained results are more general than A. N. Kolmogorov theorems on the convergence of Fourier series in metrics weaker than that of L-1.
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页码：18 / 29
页数：12
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