Characterizations for the genuine Calderon-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

被引：8

作者：

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

Omarova, Meriban N. ^{[3
,4
]}

Ragusa, Maria Alessandra ^{[5
,6
]}

机构：

[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[2] Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia

[3] Inst Math & Mech, Baku, Azerbaijan

[4] Baku State Univ, Baku, Azerbaijan

[5] Univ Catania, Dept Math & Comp Sci, Catania, Italy

[6] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, 12 Nguyen Bao,Ward 4, Ho Chi Minh City 117198, Vietnam

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

generalized Orlicz-Morrey spaces; genuine Calderon-Zygmund operator; commutator; BMO; SINGULAR INTEGRAL-OPERATORS; NONDIVERGENCE ELLIPTIC-EQUATIONS; REGULARITY CRITERION; BOUNDEDNESS;

D O I：

10.1515/anona-2022-0307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we show continuity of commutators of Calderon-Zygmund operators [b, T] with BMO functions in generalized Orlicz-Morrey spaces M-F,M-f(R-n). We give necessary and sufficient conditions for the boundedness of the genuine Calderon-Zygmund operators T and for their commutators [b, T] on generalized Orlicz-Morrey spaces, respectively.

引用

页数：16

共 50 条

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