HARDY INEQUALITIES FOR p-WEAKLY MONOTONE FUNCTIONS

被引:0
作者
Saucedo, M. [1 ]
机构
[1] Ctr Recerca Matemat, Edif C, Bellaterra 08193, Spain
来源
EURASIAN MATHEMATICAL JOURNAL | 2023年 / 14卷 / 02期
基金
俄罗斯科学基金会;
关键词
Hardy-type inequality; generalized monotonicity; TRIGONOMETRIC SERIES; GENERAL MONOTONICITY; CONVERGENCE; SMOOTHNESS; APPROXIMATION; SEQUENCES;
D O I
10.32523/2077-9879-2023-14-2-94-106
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove Hardy-type inequalities ⠒Z & INFIN; ⠌⠌⠌⠌ Z s d d ⠌⠌p ⠓1/p ⠒Z & INFIN; ⠓1/q f (x)dx ⠌⠌s & beta;ds & LE;C |f(s)|qs & alpha;ds d for the class of p-weakly monotone functions with q or p smaller than 1 and d & GE; 0.
引用
收藏
页码:94 / 106
页数:25
相关论文
共 31 条
[1]  
[Anonymous], 1958, MATH SB
[2]  
Azzouz N, 2013, EURASIAN MATH J, V4, P127
[3]   Functions with general monotone Fourier coefficients [J].
Belov, A. S. ;
Dyachenko, M., I ;
Tikhonov, S. Yu .
RUSSIAN MATHEMATICAL SURVEYS, 2021, 76 (06) :951-1017
[4]   General monotone sequences and trigonometric series [J].
Booton, Barry .
MATHEMATISCHE NACHRICHTEN, 2014, 287 (5-6) :518-529
[5]  
Bradley J. S., 1978, Canad. Math. Bull., V21, P405, DOI DOI 10.4153/CMB-1978-071-7.32
[6]  
Burenkov V., 1993, Proc. Steklov Inst. Math., V194, P59
[7]   The Boas Problem on Hankel Transforms [J].
Debernardi, A. .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2019, 25 (06) :3310-3341
[8]  
Debernardi A., 2019, Applied and Numerical Harmonic Analysis, P87
[9]  
Dominguez O., 2023, MEM AM MATH SOC, V282, P170
[10]   Embeddings and characterizations of Lipschitz spaces [J].
Dominguez, Oscar ;
Haroske, Dorothee D. ;
Tikhonov, Sergey .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 144 :69-105