THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS

被引：55
|
作者：
Lu Shanzhen and Yang Dachun (Beijing Normal University
机构：
来源：
Approximation Theory and Its Applications | 1995年 / 03期
关键词：
BMO; II; THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
The authors give a characterization of central bounded mean oscillation space CBMO2(Rγ) in terms of the central Carleson measure. Using this character, the authors establish the CBMO2(Rγ)-boundedness for several classes of general Littlewood-Paley operators.
引用
收藏
页码：72 / 94
页数：23
相关论文
共 50 条
  • [1] LITTLEWOOD-PALEY OPERATORS ON BMO
    KURTZ, DS
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (04) : 657 - 666
  • [2] Estimates for Littlewood-Paley operators in BMO(Rn)
    Meng, Yan
    Yang, Dachun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 346 (01) : 30 - 38
  • [3] Littlewood-Paley characterization of BMO and Triebel-Lizorkin spaces
    Tselishchev, Anton
    Vasilyev, Ioann
    MATHEMATISCHE NACHRICHTEN, 2020, 293 (10) : 2029 - 2043
  • [4] LITTLEWOOD-PALEY SPACES
    Ho, Kwok-Pun
    MATHEMATICA SCANDINAVICA, 2011, 108 (01) : 77 - 102
  • [5] POINTWISE ESTIMATES AND BOUNDEDNESS OF GENERALIZED LITTLEWOOD-PALEY OPERATORS IN BMO(Rn)
    Wu, Yurong
    Wu, Huoxiong
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (03) : 851 - 864
  • [6] Parameterized Littlewood-Paley Operators on Weighted Herz Spaces
    Yueshan Wang
    Aiqing Chen
    Analysis in Theory and Applications, 2017, 33 (04) : 301 - 315
  • [7] Parametrized Multilinear Littlewood-Paley Operators on Hardy Spaces
    He, Sha
    Xue, Qingying
    TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (01): : 87 - 101
  • [8] Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO
    Betancor, J. J.
    Chicco Ruiz, A.
    Farina, J. C.
    Rodriguez-Mesa, L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (01) : 310 - 326
  • [9] Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
    Tao, Shuangping
    Wang, Lijuan
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [10] On multilinear Littlewood-Paley operators
    Chen, Xi
    Xue, Qingying
    Yabuta, Kozo
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 115 : 25 - 40
12345