COMMUTATORS OF MULTIPLIERS ON HARDY SPACES

被引:0
|
作者
Pu Zhang Zhejiang Sci-Tech University
机构
关键词
multiplier; commutator; Hardy space; Hormander condition;
D O I
暂无
中图分类号
O177 [泛函分析];
学科分类号
070104 ;
摘要
Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H1(Rn) into the weak L1(Rn) space and from certain atomic Hardy space H1(Rn) into the Lebesgue space L1(Rn), when the multiplier m satisfies the conditions of Hormander type.
引用
收藏
页码:29 / 37
页数:9
相关论文
共 50 条
  • [31] COMMUTATORS, BMO, HARDY SPACES AND FACTORIZATION: A SURVEY
    Wick, Brett D.
    REAL ANALYSIS EXCHANGE, 2020, 45 (01) : 1 - 28
  • [32] On Friedrichs Commutators Lemma for Hardy Spaces and Applications
    Hounie, Jorge
    GEOMETRIC METHODS IN PDE'S, 2015, 13 : 1 - 14
  • [33] Boundedness of Commutators on Hardy-Type Spaces
    Yan Lin
    Shanzhen Lu
    Integral Equations and Operator Theory, 2007, 57 : 381 - 396
  • [34] Commutators of Hardy operators in vanishing Morrey spaces
    Persson, Lars-Erik
    Ragusa, Maria Alessandra
    Samko, Natasha
    Wall, Peter
    9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2012), 2012, 1493 : 859 - 866
  • [35] Commutators for approximation spaces and Marcinkiewicz-type multipliers
    Cerdà, J
    Martín, J
    Krugljak, NY
    JOURNAL OF APPROXIMATION THEORY, 1999, 100 (02) : 251 - 265
  • [36] Modified Hardy and Hardy–Littlewood Fractional Operators in Morrey–Herz Spaces and Their Commutators in Weighted Spaces
    Volosivets S.S.
    Golubov B.I.
    Journal of Mathematical Sciences, 2022, 263 (5) : 666 - 674
  • [37] BOUNDEDNESS FOR MULTILINEAR COMMUTATORS OF INTEGRAL OPERATORS IN HARDY AND HERZ-HARDY SPACES ON HOMOGENEOUS SPACES
    Chen Xianyi
    Liu Lanzhe
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (03): : 307 - 319
  • [38] Hadamard Multipliers and Abel Dual of Hardy Spaces
    Mleczko, Pawel
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [39] Trigonometric multipliers on real periodic Hardy spaces
    Fridli, S.
    MONATSHEFTE FUR MATHEMATIK, 2015, 178 (04): : 539 - 552
  • [40] Coefficient multipliers between Bergman and Hardy spaces
    MacGregor, T
    Zhu, KH
    MATHEMATIKA, 1995, 42 (84) : 413 - 426