Boundedness of the Maximal and Singular Operators on Generalized Orlicz-Morrey Spaces

被引：0

作者：

Deringoz, Fatih ^{[1
]}

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

Samko, Stefan ^{[3
]}

机构：

[1] Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkey

[2] Azerbaijan Acad Sci, Inst Math & Mech, F Agayev St 9, AZ-1141 Baku, Azerbaijan

[3] Univ Algarve, Dept Math, Campus Gambelas, P-8005139 Faro, Portugal

来源：

OPERATOR THEORY, OPERATOR ALGEBRAS AND APPLICATIONS | 2014年 / 242卷

关键词：

Generalized Orlicz-Morrey space; maximal operator; singular integral operators; INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider generalized Orlicz-Morrey spaces MF Phi,phi(R-n) including their weak versions. In these generalized spaces we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators with standard kernel. In all the cases the conditions for the boundedness are given either in terms of Zygmund- type integral inequalities on phi(r) without assuming any monotonicity property of phi(r), or in terms of supremal operators, related to phi(r).

引用

页码：139 / 158

页数：20

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