CHARACTERIZATIONS OF LIPSCHITZ FUNCTIONS VIA THE COMMUTATORS OF MAXIMAL FUNCTION IN ORLICZ SPACES ON STRATIFIED LIE GROUPS

被引：7
|
作者：
Guliyev, Vagif S. [1 ,2 ,3 ]
机构：
[1] Baku State Univ, Inst Appl Math, Baku AZ1148, Azerbaijan
[2] Inst Math & Mech, Baku AZ1141, Azerbaijan
[3] Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2023年 / 26卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Stratified group; Orlicz space; maximal function; sharp maximal function; commutator; Lipschitz function; BMO;
D O I：
10.7153/mia-2023-26-29
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give necessary and sufficient conditions for the boundedness of the maximal commutators Mb, the commutators of the maximal operator [b, M] and the commutators of the sharp maximal operator [b,M-double dagger] in Orlicz spaces L-Phi(G) on any stratified Lie group G when b belongs to Lipschitz spaces.Lambda(beta) (G). We obtain some new characterizations for certain subclasses of Lipschitz spaces Lambda(beta)(G)
引用
收藏
页码：447 / 464
页数：18
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