On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces

被引:0
作者
Aliev, A. R. [1 ,2 ]
Aliev, R. A. [2 ,3 ]
机构
[1] Azerbaijan State Oil & Ind Univ, Baku AZ1010, Azerbaijan
[2] Khazar Univ, Res Ctr Math & Its Applicat, Baku AZ1096, Azerbaijan
[3] Baku State Univ, Baku AZ1148, Azerbaijan
关键词
fractional maximal operator; Riesz potential; commutator; Orlicz spaces; HIGHER-ORDER COMMUTATORS;
D O I
10.1134/S0001434624030180
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, conditions are found for the boundedness of the fractional maximal operator, the Riesz potential, and their commutators in Orlicz spaces.
引用
收藏
页码:453 / 462
页数:10
相关论文
共 16 条
[1]   A NOTE ON COMMUTATORS [J].
CHANILLO, S .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (01) :7-16
[2]  
Cianchi A, 1996, INDIANA U MATH J, V45, P39
[3]   Strong and weak type inequalities for some classical operators in Orlicz spaces [J].
Cianchi, A .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 :187-202
[4]   Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind [J].
Deringoz, Fatih ;
Guliyev, Vagif S. ;
Nakai, Eiichi ;
Sawano, Yoshihiro ;
Shi, Minglei .
POSITIVITY, 2019, 23 (03) :727-757
[5]   Higher order commutators for a class of rough operators [J].
Ding, Y ;
Lu, SZ .
ARKIV FOR MATEMATIK, 1999, 37 (01) :33-44
[6]  
Grafakos L, 2014, GRAD TEXTS MATH, V250, DOI 10.1007/978-1-4939-1230-8
[7]   Commutators of Fractional Maximal Operator on Orlicz Spaces [J].
Guliyev, V. S. ;
Deringoz, F. ;
Hasanov, S. G. .
MATHEMATICAL NOTES, 2018, 104 (3-4) :498-507
[8]   Riesz potential and its commutators on Orlicz spaces [J].
Guliyev, Vagif S. ;
Deringoz, Fatih ;
Hasanov, Sabir G. .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[9]   Orlicz Spaces and Generalized Orlicz Spaces [J].
Harjulehto, Petteri ;
Hasto, Peter .
ORLICZ SPACES AND GENERALIZED ORLICZ SPACES, 2019, 2236 :V-+
[10]  
Kokilashvili V., 1991, WEIGHTED INEQUALITIE, DOI DOI 10.1142/1367