Atomic decompositions of weak Orlicz-Lorentz martingale spaces

被引:0
|
作者
Chuanzhou Zhang
Mingming Zhong
Xueying Zhang
机构
[1] Wuhan University of Science and Technology,College of Science
关键词
atomic decompositions; Orlicz-Lorentz martingale spaces; sublinear operator;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper we establish atomic decompositions of some weak Orlicz-Lorentz martingale spaces which are generalization of Orlicz martingale spaces and of Lorentz martingale spaces. With the help of atomic decompositions, the boundedness of sublinear operators is obtained.
引用
收藏
相关论文
共 50 条
  • [1] Atomic decompositions of weak Orlicz-Lorentz martingale spaces
    Zhang, Chuanzhou
    Zhong, Mingming
    Zhang, Xueying
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [2] Orlicz-Lorentz Hardy martingale spaces
    Hao, Zhiwei
    Li, Libo
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 482 (01)
  • [3] WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS
    Ren Yanbo
    Guo Tiexin
    [J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (03) : 1157 - 1166
  • [4] WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS
    任颜波
    郭铁信
    [J]. Acta Mathematica Scientia, 2012, 32 (03) : 1157 - 1166
  • [5] Atomic decompositions of Lorentz martingale spaces and applications
    Jiao Yong
    Peng Lihua
    Liu Peide
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2009, 7 (02): : 153 - 166
  • [6] Weak martingale Hardy spaces and weak atomic decompositions
    Youliang Hou
    Yanbo Ren
    [J]. Science in China Series A, 2006, 49 : 912 - 921
  • [7] Weak martingale Hardy spaces and weak atomic decompositions
    Hou Youliang
    Ren Yanbo
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (07): : 912 - 921
  • [8] Dual spaces to Orlicz-Lorentz spaces
    Kaminska, Anna
    Lesnik, Karol
    Raynaud, Yves
    [J]. STUDIA MATHEMATICA, 2014, 222 (03) : 229 - 261
  • [9] Weak martingale Hardy spaces and weak atomic decompositions
    HOU Youliang & REN Yanbo School of Mathematics and Statistics
    Department of Mathematics & Physics
    [J]. Science China Mathematics, 2006, (07) : 912 - 921
  • [10] Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications
    Levis, Fabian E.
    [J]. JOURNAL OF APPROXIMATION THEORY, 2010, 162 (02) : 239 - 251