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
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
  • [1] Characterization of Lipschitz Functions on Ball Banach Function Spaces
    Müjdat Ağcayazi
    Pu Zhang
    Mediterranean Journal of Mathematics, 2024, 21
  • [2] COMMUTATORS OF THE MAXIMAL FUNCTIONS ON BANACH FUNCTION SPACES
    Agcayazi, Mujdat
    Zhang, Pu
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (05) : 1391 - 1408
  • [3] Bilinear Operators on Ball Banach Function Spaces
    Ho, Kwok-Pun
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (11)
  • [4] Extrapolations on ball Banach function spaces and applications
    Deng, Chaohong
    Sun, Jiawei
    Li, Baode
    ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
  • [5] Compactness Characterizations of Commutators on Ball Banach Function Spaces
    Tao, Jin
    Yang, Dachun
    Yuan, Wen
    Zhang, Yangyang
    POTENTIAL ANALYSIS, 2023, 58 (04) : 645 - 679
  • [6] BLOCK DECOMPOSITION FOR HERZ SPACES ASSOCIATED WITH BALL BANACH FUNCTION SPACES
    Wei, Mingquan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (02): : 641 - 643
  • [7] Gagliardo representation of norms of ball quasi-Banach function spaces
    Pan, Zhulei
    Yang, Dachun
    Yuan, Wen
    Zhang, Yangyang
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 286 (02)
  • [8] Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces
    Yan, Xianjie
    He, Ziyi
    Yang, Dachun
    Yuan, Wen
    MATHEMATISCHE NACHRICHTEN, 2023, 296 (07) : 3056 - 3116
  • [9] Bochner-Riesz Means on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
    Tan, Jian
    Zhang, Linjing
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (05)
  • [10] Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
    Wang, Fan
    Yang, Dachun
    Yuan, Wen
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2023, 29 (05)