Commutators of Fractional Maximal Operator on Orlicz Spaces

被引：10
|
作者：
Guliyev, V. S. [1 ,2 ,3 ]
Deringoz, F. [1 ]
Hasanov, S. G. [3 ,4 ]
机构：
[1] Ahi Evran Univ, TR-40100 Kirsehir, Turkey
[2] RUDN Univ, Moscow 117198, Russia
[3] NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
[4] Ganja State Univ, AZ-2003 Ganja, Azerbaijan
来源：
MATHEMATICAL NOTES | 2018年 / 104卷 / 3-4期
关键词：
Orlicz space; fractional maximal operator; commutator; BMO;
D O I：
10.1134/S0001434618090171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we give necessary and sufficient conditions for the boundedness of commutators of fractional maximal operator on Orlicz 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.
引用
收藏
页码：498 / 507
页数：10
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