Revisiting Taibleson's theorem

被引:0
|
作者
Rafeiro, Humberto [1 ]
Restrepo, Joel E. [2 ,3 ]
机构
[1] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates
[2] Nazarbayev Univ, Dept Math, Astana, Kazakhstan
[3] Southern Fed Univ, Reg Math Ctr, Rostov Na Donu, Russia
来源
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 02期
关键词
generalized Holder space; Bari-Stechkin class; modulus of continuity; generalized fractional operator; harmonic function; poisson integral; CONTINUITY; LIPSCHITZ;
D O I
10.3934/era.2022029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A new characterization of the weighted Taibleson's theorem for generalized Holder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).
引用
收藏
页码:565 / 573
页数:9
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