A BOAS-TYPE THEOREM FOR α-MONOTONE FUNCTIONS

被引：0

作者：

Dyachenko, M. ^{[1
]}

Mukanov, A. ^{[2
,3
,4
]}

Nursultanov, E. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Vorobevy Gory Moscow 119992, Russia

[2] Gumilyov Eurasian Natl Univ, Munaitpasov 7, Astana 010010, Kazakhstan

[3] Univ Autonoma Barcelona, Dept Matemat, Edifici C Fac Ciencies, Bellaterra 08193, Barcelona, Spain

[4] Ctr Recerca Matemat, Edifici C, Bellaterra 08193, Barcelona, Spain

来源：

MATHEMATICA SCANDINAVICA | 2017年 / 120卷 / 01期

关键词：

TRIGONOMETRIC SERIES; FOURIER-TRANSFORM; LORENTZ SPACES; COEFFICIENTS; INEQUALITIES; INTERPOLATION; INTEGRABILITY; LITTLEWOOD; HARDY;

D O I：

10.7146/math.scand.a-25503

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the class of alpha-monotone functions using fractional integrals. For such functions we prove a Boas-type result on the summability of the Fourier coefficients.

引用

页码：39 / 58

页数：20

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