Piecewise General Monotone Functions and the Hardy-Littlewood Theorem

被引:2
作者
Dyachenko, M. I. [1 ,2 ]
Tikhonov, S. Yu. [3 ,4 ,5 ]
机构
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow 119991, Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
[3] Ctr Recerca Matemat, Campus Bellaterra,Edifici C, Bellaterra 08193, Barcelona, Spain
[4] Pg Lluis Co 23, ICREA, Barcelona 08010, Spain
[5] Univ Autonoma Barcelona, Plaza Civica, Bellaterra 08193, Cerdanyola Des, Spain
基金
俄罗斯科学基金会;
关键词
TRIGONOMETRIC SERIES; NORM INEQUALITIES; FOURIER; INTERPOLATION; COEFFICIENTS;
D O I
10.1134/S0081543822050108
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain necessary and sufficient conditions for an integrable piecewise general monotone function to belong to an L-P space with a weight of Muckenhoupt class A(P) in terms of the Fourier coefficients. We also find a sufficient condition for the Hardy transform of an arbitrary integrable function to belong to the same space.
引用
收藏
页码:110 / 123
页数:14
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