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

页码：447 / 464

页数：18

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