Complementary spaces and multipliers of double Fourier series for functions of bounded variation

被引：4

作者：

Baron, S ^{[1
]}

Liflyand, E

Stadtmüller, U

机构：

[1] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel

[2] Univ Ulm, Dept Math, D-89069 Ulm, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 250卷 / 02期

关键词：

double Fourier series; bounded variation; complementary space; summability; multiplier;

D O I：

10.1006/jmaa.2000.7173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Complementary spaces for Fourier series were introduced by G. Goes and generalized by M. Tynnov. In this paper we investigate a notion of complementary space for double Fourier series of functions of bounded variation. Various applications are given. (C) 2000 Academic Press.

引用

页码：706 / 721

页数：16

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