Herz-Type Hardy Spaces Associated with Operators

被引：0
作者：
Chai, Yan [1 ]
Han, Yaoyao [1 ]
Zhao, Kai [1 ]
机构：
[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
SELF-ADJOINT OPERATORS; BMO; BOUNDEDNESS; DUALITY; VERSION;
D O I：
10.1155/2018/1296837
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L.. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Various characterizations of product Hardy spaces associated to Schrodinger operators
    Liu SuYing
    Zhao Kai
    SCIENCE CHINA-MATHEMATICS, 2015, 58 (12) : 2549 - 2564
  • [42] Orlicz-Hardy spaces associated with operators
    Jiang RenJin
    Yang DaChun
    Zhou Yuan
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (05): : 1042 - 1080
  • [43] Orlicz-Hardy spaces associated with operators
    JIANG RenJin
    Laboratory of Mathematics and Complex Syst- ems
    Science China Mathematics, 2009, (05) : 1042 - 1080
  • [44] θ-TYPE CALDERON-ZYGMUND OPERATORS ON MORREY AND MORREY-HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENTS
    Yang, Yanqi
    Tao, Shuangping
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (01): : 35 - 44
  • [45] Hardy's inequalities and integral operators on Herz-Morrey spaces
    Yee, Tat-Leung
    Ho, Kwok-Pun
    OPEN MATHEMATICS, 2020, 18 : 106 - 121
  • [46] The weighted Hardy spaces associated to self-adjoint operators and their duality on product spaces
    Liu, Suying
    Yang, Minghua
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (02) : 415 - 431
  • [47] Hardy spaces associated to generalized Hardy operators and applications
    The Anh Bui
    Nader, Georges
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 29 (04):
  • [48] Localized Hardy spaces associated with operators
    Jiang, Renjin
    Yang, Dachun
    Zhou, Yuan
    APPLICABLE ANALYSIS, 2009, 88 (09) : 1409 - 1427
  • [49] New Characterization of Morrey-Herz Spaces and Morrey-Herz-Hardy Spaces with Applications to Various Linear Operators
    Ho, Kwok Pun
    Sawano, Yoshihiro
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2025, 41 (01) : 327 - 354
  • [50] HARDY SPACES ASSOCIATED WITH SEMIGROUPS OF OPERATORS
    Betancor, Jorge J.
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2011, 52 (02): : 1 - 22
12345