Conservative means of orthogonal series and the spaces Lp[0; 1], p∈(1;∞)

被引：0
|
作者：
Brui, IN
机构：
来源：
MATHEMATICAL NOTES | 2002年 / 71卷 / 1-2期
关键词：
summation methods; regular summation method; conservative summation method; orthogonal series; Fourier series; Lebesgue integrable function;
D O I：
10.1023/A:1013951012900
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions for an orthogonal series to be the Fourier series of a function in the space L-P[0; 1], p is an element of (1; infinity), are obtained. In the special case of regular summation niethods we recover the classical results of Orlicz and Lomnicki.
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页码：166 / 176
页数：11
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