Intrinsic Square Function Characterizations of Several Hardy-Type Spaces-a Survey

被引:11
作者
Yan, Xianjie [1 ]
Yang, Dachun [1 ]
Yuan, Wen [1 ]
机构
[1] Beijing Normal Univ, Sch Math Sci, Minist Educ China, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源
ANALYSIS IN THEORY AND APPLICATIONS | 2021年 / 37卷 / 03期
基金
中国国家自然科学基金;
关键词
Intrinsic square function; (weak) Musielak-Orlicz Hardy space; variable (weak) Hardy space; ball quasi-Banach function space; Campanato space; VARIABLE EXPONENTS; BOUNDEDNESS; MORREY;
D O I
10.4208/ata.2021.lu80.09
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, the authors give a survey about the recent developments of intrinsic square function characterizations and their applications on several Hardy-type spaces, including (weak) Musielak-Orlicz Hardy spaces, variable (weak) Hardy spaces, and Hardy spaces associated with ball quasi-Banach function spaces. The authors also present some open problems.
引用
收藏
页码:426 / 464
页数:39
相关论文
共 58 条
  • [1] Bennett C., 1988, INTERPOLATION OPERAT, V129
  • [2] Campanato S., 1964, Ann. Sc. Norm. Super. Pisa, V18, P137
  • [3] Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces In Memory of Professor Carlos Berenstein
    Chang, Der-Chen
    Wang, Songbai
    Yang, Dachun
    Zhang, Yangyang
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (03)
  • [4] CruzUribe DV, 2013, APPL NUMER HARMON AN, DOI 10.1007/978-3-0348-0548-3
  • [5] Dai F., GENERALIZATION BALL
  • [6] Lebesgue and Sobolev Spaces with Variable Exponents
    Diening, Lars
    Harjulehto, Petteri
    Hasto, Peter
    Ruzicka, Michael
    [J]. LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS, 2011, 2017 : 1 - +
  • [7] Duoandikoetxea J., 2001, Graduate Studies in Mathematics, V29, DOI DOI 10.1090/GSM/029
  • [8] FEFFERMAN C, 1972, ACTA MATH-UPPSALA, V129, P137, DOI 10.1007/BF02392215
  • [9] Folland GB., 1982, HARDY SPACES HOMOGEN
  • [10] Equivalent characterizations of Hardy spaces with variable exponent via wavelets
    Fu, Xing
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (04) : 737 - 759