Weighted Norm Inequalities for Calderon-Zygmund Operators of f-Type and Their Commutators

被引：0
|
作者：
Hang, Li [1 ]
Zhou, Jiang [1 ]
机构：
[1] Xinjiang Univ, Urumqi, Peoples R China
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2023年 / 58卷 / 03期
基金：
中国国家自然科学基金;
关键词：
A(p)(theta)(phi) weights; Morrey space; BMO theta(phi); Calderon-Zygmund operators; commutators; SPACES;
D O I：
10.3103/S1068362323030068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce new weighted Morrey spaces L-theta,omega(p,k) (f) associated with a nondecreasing function f of upper type beta with beta > 0, where omega epsilon A(p)(theta)(phi) and phi(alpha t) <= C alpha(beta)phi(t), then we obtain the weighted strong type and weak endpoint estimates for Caldero ' n-Zygmund operators of f-type and their commutators [b, T] on new weighted Morrey spaces L-theta,omega(p,k) (phi), where b epsilon BMO theta(f).
引用
收藏
页码：152 / 166
页数：15
相关论文
共 50 条
  • [21] Calderon-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces
    Deringoz, F.
    Guliyev, V. S.
    Omarova, M. N.
    Ragusa, M. A.
    BULLETIN OF MATHEMATICAL SCIENCES, 2023, 13 (01)
  • [22] WEIGHTED WEAK TYPE ENDPOINT ESTIMATES FOR THE COMPOSITIONS OF CALDERON-ZYGMUND OPERATORS
    Hu, Guoen
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 109 (03) : 320 - 339
  • [23] A note on commutators of strongly singular Calderon-Zygmund operators
    Zhang, Pu
    Zhu, Xiaomeng
    OPEN MATHEMATICS, 2022, 20 (01): : 1057 - 1065
  • [24] Calderon-Zygmund Operators on Weighted Hardy Spaces
    Lee, Ming-Yi
    POTENTIAL ANALYSIS, 2013, 38 (03) : 699 - 709
  • [25] MULTILINEAR STRONGLY SINGULAR CALDERON-ZYGMUND OPERATORS AND COMMUTATORS ON MORREY TYPE SPACES
    Lin, Yan
    Yan, Huihui
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (02): : 351 - 375
  • [26] Endpoint estimates for the commutators of multilinear Calderon-Zygmund operators with Dini type kernels
    Li, Zhengyang
    Xue, Qingying
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [27] Calderon-Zygmund Operators and Commutators on Weak Musielak-Orlicz Hardy Spaces
    Wang, Xiao
    Sun, Wenchang
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (02)
  • [28] The sharp weighted bound for general Calderon-Zygmund operators
    Hytonen, Tuomas P.
    ANNALS OF MATHEMATICS, 2012, 175 (03) : 1473 - 1506
  • [29] SHARP WEIGHTED NORM ESTIMATES BEYOND CALDERON-ZYGMUND THEORY
    Bernicot, Frederic
    Frey, Dorothee
    Petermichl, Stefanie
    ANALYSIS & PDE, 2016, 9 (05): : 1079 - 1113
  • [30] New weighted norm inequalities for Calderón–Zygmund operators with kernels of Dini’s type and their commutators
    Xi Hu
    Jiang Zhou
    Proceedings - Mathematical Sciences, 2019, 129
12345