Characterization of Lipschitz Functions on Ball Banach Function Spaces

被引：1
|
作者：
Agcayazi, Muejdat [1 ]
Zhang, Pu [2 ]
机构：
[1] Aydın Adnan Menderes Univ, Dept Math & Sci Educ, Efeler, TR-09010 Aydin, Turkiye
[2] Mudanjiang Normal Univ, Dept Math, Mudanjiang 157011, Heilongjiang, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Commutators; maximal functions; Lipschitz functions; ball Banach function spaces; WEIGHTED NORM INEQUALITIES; MAXIMAL COMMUTATORS; HARDY-SPACES; OPERATORS; BOUNDEDNESS; BMO;
D O I：
10.1007/s00009-023-02568-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our goal is to characterize the Lipschitz functions by ball Banach function space. We give some necessary and sufficient conditions of the boundedness of the maximal commutators, commutators of the Hardy-Littlewood maximal operators and commutators of the sharp maximal operators when the symbol b belongs to Lipschitz (Campanato) spaces. In light of the results to be obtained, some applications in ball Banach function spaces will also be presented.
引用
收藏
页数：21
相关论文
共 50 条
  • [31] Operating functions for Banach function spaces
    Briem, E
    Jarosz, K
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (01) : 169 - 180
  • [32] CHARACTERIZATION OF ANALYTIC FUNCTIONS IN BANACH SPACES
    ZORN, MA
    ANNALS OF MATHEMATICS, 1945, 46 (04) : 585 - 593
  • [33] EXTENSION OF LIPSCHITZ-TYPE OPERATORS ON BANACH FUNCTION SPACES
    Cavalcante, Wasthenny, V
    Rueda, Pilar
    Sanchez-Perez, Enrique A.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 57 (01) : 343 - 364
  • [34] Lipschitz homogeneous Banach spaces
    Ferenczi, V
    QUARTERLY JOURNAL OF MATHEMATICS, 2003, 54 : 415 - 419
  • [35] Lipschitz approximable Banach spaces
    Godefroy, Gilles
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2020, 61 (02): : 187 - 193
  • [36] Compactness Characterizations of Commutators on Ball Banach Function Spaces
    Tao, Jin
    Yang, Dachun
    Yuan, Wen
    Zhang, Yangyang
    POTENTIAL ANALYSIS, 2023, 58 (04) : 645 - 679
  • [37] Compactness Characterizations of Commutators on Ball Banach Function Spaces
    Jin Tao
    Dachun Yang
    Wen Yuan
    Yangyang Zhang
    Potential Analysis, 2023, 58 : 645 - 679
  • [38] Quasicompact and Riesz composition operators on Banach spaces of Lipschitz functions on pointed metric spaces
    Alimohammadi, Davood
    Mayghani, Maliheh
    ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1754 - 1779
  • [39] Quasicompact and Riesz composition operators on Banach spaces of Lipschitz functions on pointed metric spaces
    Davood Alimohammadi
    Maliheh Mayghani
    Advances in Operator Theory, 2020, 5 : 1754 - 1779
  • [40] The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO
    Izuki, Mitsuo
    Noi, Takahiro
    Sawano, Yoshihiro
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
12345