BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES

被引：15
|
作者：
Deringoz, Fatih [1 ]
Guliyev, Vagif S. [1 ,2 ]
Samko, Stefan [3 ]
机构：
[1] Ahi Evran Univ, Dept Math, Bagbasi Campus, TR-40100 Kirsehir, Turkey
[2] Inst Math & Mech, AZ-1141 Baku, Azerbaijan
[3] Univ Algarve, Dept Matemat, P-8005139 Faro, Portugal
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期
关键词：
Vanishing generalized Orlicz-Morrey space; Hardy-Littlewood maximal operator; singular integral operators; commutator; BMO; SINGULAR-INTEGRALS; HARDY-SPACES; INEQUALITIES; EQUATIONS;
D O I：
10.5186/aasfm.2015.4029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators involving the Young function Phi(u) and the function phi(x, r) defining the space. No kind of monotonicity condition on phi(x, r) in r is imposed.
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页码：535 / 549
页数：15
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