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

页码：565 / 573

页数：9

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