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 50 条
  • [11] BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES
    Deringoz, Fatih
    Guliyev, Vagif S.
    Samko, Stefan
    [J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (02) : 535 - 549
  • [12] Riesz potential and its commutators on Orlicz spaces
    Guliyev, Vagif S.
    Deringoz, Fatih
    Hasanov, Sabir G.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [13] Riesz potential and its commutators on Orlicz spaces
    Vagif S Guliyev
    Fatih Deringoz
    Sabir G Hasanov
    [J]. Journal of Inequalities and Applications, 2017
  • [14] Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting
    Vagif Guliyev
    Yagub Mammadov
    Fatma Muslumova
    [J]. Journal of Pseudo-Differential Operators and Applications, 2020, 11 : 1699 - 1717
  • [15] Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting
    Guliyev, Vagif
    Mammadov, Yagub
    Muslumova, Fatma
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (04) : 1699 - 1717
  • [16] Fractional maximal operator in Orlicz spaces
    Musil, Vit
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 474 (01) : 94 - 115
  • [17] Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
    Guliyev, Vagif S.
    Mammadov, Yagub Y.
    Muslumova, Fatma A.
    [J]. JOURNAL OF MATHEMATICAL STUDY, 2020, 53 (01): : 45 - 65
  • [18] WEIGHTED BOUNDEDNESS OF THE FRACTIONAL MAXIMAL OPERATOR AND RIESZ POTENTIAL GENERATED BY GEGENBAUER DIFFERENTIAL OPERATOR
    Ibrahimov, Elman J.
    Guliyev, Vagif S.
    Jafarova, Saadat A.
    [J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2019, 173 (03) : 45 - 78
  • [19] Fractional maximal function and its commutators on Orlicz spaces
    Guliyev, Vagif S.
    Deringoz, Fatih
    Hasanov, Sabir G.
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (01) : 165 - 179
  • [20] Fractional maximal function and its commutators on Orlicz spaces
    Vagif S. Guliyev
    Fatih Deringoz
    Sabir G. Hasanov
    [J]. Analysis and Mathematical Physics, 2019, 9 : 165 - 179