A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type

被引：3

作者：

Guliyev, Vagif S. ^{[1
,2
,3
]}

Deringoz, Fatih ^{[4
]}

机构：

[1] RUDN Univ, SM Nikolskii Inst Math, Moscow, Russia

[2] Dumlupinar Univ, Dept Math, Kutahya, Turkey

[3] Inst Math & Mech, Baku, Azerbaijan

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

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2019年 / 9卷 / 04期

关键词：

Orlicz space; Generalized Orlicz-Morrey space; Maximal operator; Fractional integral; Commutator; Spaces of homogeneous type; 42B20; 42B25; 42B35; HARDY SPACES; OPERATORS; BOUNDEDNESS; CRITERION; EQUATIONS;

D O I：

10.1007/s13324-019-00295-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition for the boundedness of fractional integral and its commutators in these spaces. We also discuss criteria for the boundedness of these operators in Orlicz spaces.

引用

页码：1991 / 2019

页数：29

共 39 条

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