The Hardy-Littlewood type theorems in Besov spaces with the Haar basis

被引：0

作者：

Smailov, Yesmukhanbet S. ^{[1
]}

机构：

[1] Inst Appl Math, Karaganda 100028, Kazakhstan

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷

关键词：

Fourier series; Haar system; Fourier-Haar coefficients; GM-monotone sequences; Hardy-Littlewood theorem; Besov space;

D O I：

10.1063/1.4959734

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The theorems for the Fourier-Haar series on coefficient conditions that the function belongs to Lebesgue space L-q (0, 1), 1 < q < +infinity are relevant due to wide using of the Fourier-Haar series theory in the theoretical and applied issues of function theory, approximation theory, embedding of the function spaces. In this paper, there were established the coefficient necessary and sufficient conditions that the function belongs to the Besov spaces with the Haar basis. Such result for the Besov spaces with the trigonometric basis and for the Besov spaces with the Price basis was obtained.

引用

页数：5

共 7 条

[1]

BERISHA M, 1984, PUBL I MATH, V35, P87

[2]

BERISHA M, 1985, PUBL I MATH, V38, P153

[3] Fourier-Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0,1), 1<p<+a, 1<θ< plus a [J].