数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (1): 386-404.doi: 10.1007/s10473-024-0121-3

• • 上一篇    

THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES*

Wei Ding1, Yan Tang1, Yueping Zhu2,†   

  1. 1. School of Sciences, Nantong University, Nantong 226007, China;
    2. Department of Mathematics, Nantong Normal College, Nantong 226010, China
  • 收稿日期:2022-07-17 修回日期:2023-06-17 出版日期:2024-02-25 发布日期:2024-02-27
  • 通讯作者: † Yueping Zhu, E-mail: zhuyueping@ntu.edu.cn
  • 作者简介:Wei Ding, E-mail: dingwei@ntu.edu.cn; Yan Tang, E-mail: 994585863@qq.com

THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES*

Wei Ding1, Yan Tang1, Yueping Zhu2,†   

  1. 1. School of Sciences, Nantong University, Nantong 226007, China;
    2. Department of Mathematics, Nantong Normal College, Nantong 226010, China
  • Received:2022-07-17 Revised:2023-06-17 Online:2024-02-25 Published:2024-02-27
  • Contact: † Yueping Zhu, E-mail: zhuyueping@ntu.edu.cn
  • About author:Wei Ding, E-mail: dingwei@ntu.edu.cn; Yan Tang, E-mail: 994585863@qq.com

摘要: Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates. In this paper, we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.

关键词: weighted multi-parameter local Hardy spaces, atomic decomposition, boundedness, inhomogeneous Journé, class

Abstract: Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates. In this paper, we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.

Key words: weighted multi-parameter local Hardy spaces, atomic decomposition, boundedness, inhomogeneous Journé, class

中图分类号: 

  • 42B35