WEIGHTED MULTI-PARAMETER MIXED HARDY SPACES AND THEIR APPLICATIONS

被引：2
|
作者：
Ding, Wei [1 ]
Xu, Yun [1 ]
Zhu, Yueping [2 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China
[2] Nantong Normal Coll, Dept Math, Nantong 226010, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2022年 / 72卷 / 03期
关键词：
weight; multi-parameter; mixed Hardy spaces; singular integral operator; CALDERON-ZYGMUND THEORY; SINGULAR-INTEGRALS; JOURNES CLASS; BOUNDEDNESS;
D O I：
10.21136/CMJ.2022.0115-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Applying discrete CalderOn's identity, we study weighted multi-parameter mixed Hardy space H-mix(p) (omega, R-n1 x R-n2). Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different di- rections, respectively. As applications, we discuss the boundedness on H-mix(p) (omega, R-n1 x R-n2) of operators in mixed Journe's class.
引用
收藏
页码：709 / 734
页数：26
相关论文
共 50 条
  • [1] Weighted Multi-Parameter Mixed Hardy Spaces and Their Applications
    Wei Ding
    Yun Xu
    Yueping Zhu
    [J]. Czechoslovak Mathematical Journal, 2022, 72 : 709 - 734
  • [2] Atomic Decomposition of Weighted Multi-parameter Mixed Hardy Spaces
    Ding, Wei
    Zou, Fangli
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (06)
  • [3] The boundedness of operators on weighted multi-parameter mixed Hardy spaces
    Ding, Wei
    Gu, Min
    Zhu, Yueping
    [J]. MATHEMATISCHE NACHRICHTEN, 2024, 297 (07) : 2730 - 2749
  • [4] Atomic Decomposition of Weighted Multi-parameter Mixed Hardy Spaces
    Wei Ding
    Fangli Zou
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
  • [5] The boundedness of operators on weighted multi-parameter local Hardy spaces
    Ding, Wei
    Tang, Yan
    Zhu, Yueping
    [J]. ACTA MATHEMATICA SCIENTIA, 2024, 44 (01) : 386 - 404
  • [6] The boundedness of operators on weighted multi-parameter local Hardy spaces
    Wei Ding
    Yan Tang
    Yueping Zhu
    [J]. Acta Mathematica Scientia, 2024, 44 : 386 - 404
  • [7] THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES
    丁卫
    汤彦
    朱月萍
    [J]. Acta Mathematica Scientia, 2024, 44 (01) : 386 - 404
  • [8] Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation
    Han, Xiaolong
    Lu, Guozhen
    Xiao, Yayuan
    [J]. ADVANCED NONLINEAR STUDIES, 2012, 12 (03) : 533 - 553
  • [9] Multi-parameter local Hardy spaces
    Ding, Wei
    Lu, Guozhen
    Zhu, YuePing
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 184 : 352 - 380
  • [10] DUAL SPACES OF MULTI-PARAMETER MARTINGALE HARDY SPACES
    Weisz, Ferenc
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 2016, 67 (01): : 137 - 145
12345