Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups

被引：5
|
作者：
Guliyev, V. S. [1 ,2 ,3 ]
机构：
[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan
[2] Dumlupinar Univ, Dept Math, Kutahya, Turkey
[3] RUDN Univ, SM Nikolskii Inst Math, Moscow, Russia
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2020年 / 10卷 / 02期
关键词：
Carnot group; Fractional maximal operator; Generalized weighted Morrey space; Commutator; BMO; Homogeneous dimension; HIGHER-ORDER COMMUTATORS; INTEGRAL-OPERATORS; NORM INEQUALITIES; BOUNDEDNESS; EQUATIONS;
D O I：
10.1007/s13324-020-00360-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator M alpha, 0 <=alpha<Q on Carnot group G on generalized weighted Morrey spaces Mp,phi(G,w, where Q is the homogeneous dimension of G. Also we give a characterization for the Spanne type boundedness of the fractional maximal commutator operator Mb,alpha on generalized weighted Morrey spaces.
引用
收藏
页数：20
相关论文
共 50 条
  • [31] MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
    Guliyev, Vagif S.
    Hasanov, Javanshir J.
    Badalov, Xayyam A.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (01): : 41 - 61
  • [32] Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
    Fatih Deringoz
    Vagif S Guliyev
    Sabir G Hasanov
    Journal of Inequalities and Applications, 2016
  • [33] WEIGHTED ESTIMATES FOR BILINEAR FRACTIONAL INTEGRAL OPERATOR OF ITERATED PRODUCT COMMUTATORS ON MORREY SPACES
    Li, Xiang
    He, Qianjun
    Yan, Dunyan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (04): : 1249 - 1267
  • [34] Characterizations for the fractional maximal operators on Carleson curves in local generalized Morrey spaces
    Armutcu, Hatice
    Eroglu, Ahmet
    Isayev, Fatai
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (01) : 23 - 38
  • [35] Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
    Deringoz, Fatih
    Guliyev, Vagif S.
    Hasanov, Sabir G.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [36] A Note on the Maximal Operator on Weighted Morrey Spaces
    A. K. Lerner
    Analysis Mathematica, 2023, 49 : 1073 - 1086
  • [37] A Note on the Maximal Operator on Weighted Morrey Spaces
    Lerner, A. K.
    ANALYSIS MATHEMATICA, 2023, 49 (04) : 1073 - 1086
  • [38] Commutators of Fractional Maximal Operator on Orlicz Spaces
    V. S. Guliyev
    F. Deringoz
    S. G. Hasanov
    Mathematical Notes, 2018, 104 : 498 - 507
  • [39] Boundedness of the fractional Hardy-Littlewood maximal operator on weighted Morrey spaces
    Jing Zhou
    Fayou Zhao
    Analysis and Mathematical Physics, 2022, 12
  • [40] Commutators of Fractional Maximal Operator on Orlicz Spaces
    Guliyev, V. S.
    Deringoz, F.
    Hasanov, S. G.
    MATHEMATICAL NOTES, 2018, 104 (3-4) : 498 - 507
12345