Trigonometric series with ((k)over-right-arrow, (s)over-right-arrow)-monotone coefficients in spaces with mixed quasinorm

被引：0
|
作者：
Simonov, BV
机构：
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2004年 / 45卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
series; coefficient of series; monotonicity; sequence; sum; convergence;
D O I：
10.1023/B:SIMJ.0000028619.99962.14
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We estimate the sums of double series in sines and cosines with multiply monotone coefficients and other more general coefficients. We obtain necessary and sufficient conditions for membership of the sums of these series in the spaces with mixed quasinorm.
引用
收藏
页码：541 / 556
页数：16
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