MIXED HARDY SPACES AND THEIR APPLICATIONS

doi:10.1007/s10473-020-0405-1

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 945-969.doi: 10.1007/s10473-020-0405-1

MIXED HARDY SPACES AND THEIR APPLICATIONS

丁卫¹, 朱月萍²

1. School of Sciences, Nantong University, Nantong 226007, China;
2. Department of Mathematics, Nantong Normal College, Nantong 226010, China

收稿日期:2019-06-05 修回日期:2019-08-11 出版日期:2020-08-25 发布日期:2020-08-21
通讯作者: Yueping ZHU E-mail:zhuyueping@ntu.edu.cn
作者简介:Wei DING,E-mail:dingwei@ntu.edu.cn
基金资助:
Supported by NNSFC (11771223, 11501308), and Natural science foundation of Inner Mongolia (2019MS01003).

MIXED HARDY SPACES AND THEIR APPLICATIONS

Wei DING¹, Yueping ZHU²

1. School of Sciences, Nantong University, Nantong 226007, China;
2. Department of Mathematics, Nantong Normal College, Nantong 226010, China

Received:2019-06-05 Revised:2019-08-11 Online:2020-08-25 Published:2020-08-21
Contact: Yueping ZHU E-mail:zhuyueping@ntu.edu.cn
Supported by:
Supported by NNSFC (11771223, 11501308), and Natural science foundation of Inner Mongolia (2019MS01003).

摘要/Abstract

摘要： Multi-parameter mixed Hardy space $H^{p}_{\rm mix}$ is introduced by a new discrete Calderón's identity. As an application, we obtain the $ H^{p}_{\rm mix} \rightarrow L^{p}(\mathbb{R}^{n_{1}+n_{2}})$ boundedness of operators in the mixed Journé's class.

关键词: mixed Hardy spaces, discrete Calderón's identity, singular integral operators, atoms

Abstract: Multi-parameter mixed Hardy space $H^{p}_{\rm mix}$ is introduced by a new discrete Calderón's identity. As an application, we obtain the $ H^{p}_{\rm mix} \rightarrow L^{p}(\mathbb{R}^{n_{1}+n_{2}})$ boundedness of operators in the mixed Journé's class.

Key words: mixed Hardy spaces, discrete Calderón's identity, singular integral operators, atoms

中图分类号:

42B35

丁卫, 朱月萍. MIXED HARDY SPACES AND THEIR APPLICATIONS[J]. 数学物理学报(英文版), 2020, 40(4): 945-969.

Wei DING, Yueping ZHU. MIXED HARDY SPACES AND THEIR APPLICATIONS[J]. Acta mathematica scientia,Series B, 2020, 40(4): 945-969.

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MIXED HARDY SPACES AND THEIR APPLICATIONS

MIXED HARDY SPACES AND THEIR APPLICATIONS

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