Calderon-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

被引：10

作者：

Deringoz, F. ^{[1
]}

Guliyev, V. S. ^{[2
,4
]}

Omarova, M. N. ^{[4
,5
]}

Ragusa, M. A. ^{[3
,6
]}

机构：

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

[2] Baku State Univ, Inst Appl Math, Baku 1148, Azerbaijan

[3] RUDN Univ, Moscow 117198, Russia

[4] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

[5] Baku State Univ, Baku, Azerbaijan

[6] Univ Catania, Dipartimento Matemat & Informat, Catania, Italy

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2023年 / 13卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Generalized weighted Orlicz-Morrey space; Calderon-Zygmund operators; commutator; vector-valued inequalities; SINGULAR INTEGRAL-OPERATORS; MAXIMAL OPERATOR; BOUNDEDNESS; INEQUALITIES;

D O I：

10.1142/S1664360722500047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calderon-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calderon-Zygmund operators on these spaces. Moreover, the boundedness of Calderon-Zygmund operators in the vector-valued setting is given.

引用

页数：26

共 40 条

[1]

AHMADLI A. A., 2021, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., Mathematics, V41, P3

[2]

Akbulut A, 2012, MATH BOHEM, V137, P27

[3] WEIGHTED ESTIMATES FOR COMMUTATORS OF LINEAR-OPERATORS [J].