Maximal Operator and its Commutators on Generalized Weighted Orlicz-Morrey Spaces

被引：8

作者：

Deringoz, Fatih ^{[2
]}

Guliyev, Vagif S. ^{[3
]}

Hasanov, Sabir G. ^{[1
]}

机构：

[1] Ganja State Univ, Ganja, Azerbaijan

[2] Ahi Evran Univ, Dept Math, Kirsehir, Turkey

[3] NAS, Inst Math & Mech, Kirsehir, Turkey

来源：

TOKYO JOURNAL OF MATHEMATICS | 2018年 / 41卷 / 02期

关键词：

generalized weighted Orlicz-Morrey space; maximal operator; commutator; vector-valued inequalities; SINGULAR INTEGRAL-OPERATORS; HIGHER-ORDER COMMUTATORS; NORM INEQUALITIES; BOUNDEDNESS; DECOMPOSITIONS;

D O I：

10.3836/tjm/1502179260

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we shall give necessary and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces M-w(Phi,psi)(R-n). 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 and we do not need Delta(2)-condition for the boundedness of the maximal operator. We also consider the vector-valued boundedness of the Hardy-Littlewood maximal operator.

引用

页码：347 / 369

页数：23

共 46 条

[1] A note on maximal commutators and commutators of maximal functions [J].