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
收藏
页码：39 / 58
页数：20
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