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

doi:10.1007/s10473-024-0121-3

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 Zhu^2,†

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 Zhu^2,†

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/Abstract

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

Wei Ding, Yan Tang, Yueping Zhu. THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES^*[J]. 数学物理学报(英文版), 2024, 44(1): 386-404.

Wei Ding, Yan Tang, Yueping Zhu. THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES^*[J]. Acta mathematica scientia,Series B, 2024, 44(1): 386-404.

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

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

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