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.

引用

页码：166 / 176

页数：11

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