拟微分算子在$H^p(\omega)$上的有界性

数学物理学报 ›› 2021, Vol. 41 ›› Issue (2): 303-312.

拟微分算子在$H^p(\omega)$上的有界性

温泳铭¹(),侯宪明^2,*()

¹ 闽南师范大学数学与统计学院福建漳州 363000
² 临沂大学数学与统计学院山东临沂 276005

收稿日期:2020-09-17 出版日期:2021-04-26 发布日期:2021-04-29
通讯作者: 侯宪明 E-mail:wenyongmingxmu@163.com;houxianming37@163.com
作者简介:温泳铭, E-mail: wenyongmingxmu@163.com
基金资助:
闽南师范大学校长基金(KJ2020020);福建省中青年教师教育科研项目(JAT200331)

The Boundedness of Pseudodifferential Operators on $H^p(\omega)$

Yongming Wen¹(),Xianming Hou^2,*()

¹ School of Mathematics and Statistics, Minnan Normal University, Fujian Zhangzhou 363000
² School of Mathematics and Statistics, Linyi University, Shandong Linyi 276005

Received:2020-09-17 Online:2021-04-26 Published:2021-04-29
Contact: Xianming Hou E-mail:wenyongmingxmu@163.com;houxianming37@163.com
Supported by:
the President's Fund of Minnan Normal University(KJ2020020);the Scientific Research Project of the Education Department of Fujian Province(JAT200331)

摘要/Abstract

摘要：

该文给出了拟微分算子$T_\sigma$在加权Hardy空间$H^p(\omega)$上的有界性，改进和推广了已有的相关结果.

关键词: 拟微分算子, 权, Hardy空间

Abstract:

This paper gives the boundedness of a class of pseudodifferential operators $T_\sigma$ on weighted Hardy spaces $H^p(\omega)$, which improves the previous known results.

Key words: Pseudodifferential operator, Weight, Hardy spaces

中图分类号:

O174.2

温泳铭,侯宪明. 拟微分算子在$H^p(\omega)$上的有界性[J]. 数学物理学报, 2021, 41(2): 303-312.

Yongming Wen,Xianming Hou. The Boundedness of Pseudodifferential Operators on $H^p(\omega)$[J]. Acta mathematica scientia,Series A, 2021, 41(2): 303-312.

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