BOUNDEDNESS OF INTRINSIC SQUARE FUNCTIONS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED ORLICZ-MORREY SPACES

被引：19
|
作者：
Guliyev, Vagif [1 ,2 ]
Omarova, Mehriban [2 ,3 ]
Sawano, Yoshihiro [4 ]
机构：
[1] Ahi Evran Univ, Dept Math, Kirsehir, Turkey
[2] Azerbaijan Acad Sci, Inst Math & Mech, Baku, Azerbaijan
[3] Baku State Univ, AZ-1148 Baku, Azerbaijan
[4] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Tokyo, Japan
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 9卷 / 02期
关键词：
Generalized weighted Orlicz-Morrey space; intrinsic square functions; commutator; BMO;
D O I：
10.15352/bjma/09-2-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces M-w(Phi,phi) (R-n). In all the cases, the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights phi without assuming any monotonicity property of phi(x, .) with x fixed.
引用
收藏
页码：44 / 62
页数：19
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