$ \boldsymbol{H^{p,q,s}}({\Bbb D})$上的复合算子

数学物理学报 ›› 2023, Vol. 43 ›› Issue (1): 1-13.

• • 下一篇

$\boldsymbol{H^{p,q,s}}({\Bbb D})$ 上的复合算子

陈洪欣(),张学军^*(),周敏()

湖南师范大学数学与统计学院长沙410006

收稿日期:2022-05-02 修回日期:2022-08-05 出版日期:2023-02-26 发布日期:2023-03-07
通讯作者: 张学军 E-mail:1755310775@qq.com;xuejunttt@263.net;1479898554@qq.com
作者简介:陈洪欣, E-mail: 1755310775@qq.com|周敏, E-mail: 1479898554@qq.com
基金资助:
国家自然科学基金(11942109);湖南省自然科学基金(2022JJ30369)

Composition Operators on $\boldsymbol{H^{p,q,s}}({\Bbb D})$

Chen Hongxin(),Zhang Xuejun^*(),Zhou Min()

College of Mathematics and Statistics, Hunan Normal University, Changsha 410006

Received:2022-05-02 Revised:2022-08-05 Online:2023-02-26 Published:2023-03-07
Contact: Xuejun Zhang E-mail:1755310775@qq.com;xuejunttt@263.net;1479898554@qq.com
Supported by:
The NSFC(11942109);The NSFH(2022JJ30369)

摘要/Abstract

摘要：

设 $\varphi$ 是复平面 ${\Bbb C}$ 中单位圆盘 ${\Bbb D}$ 上的解析自映射. 该文刻画了一般Hardy型空间 $H^{p,q,s}({\Bbb D})$ 上使得复合算子 $C_{\varphi}$ 有界或者紧时的符号函数 $\varphi$ .

关键词: 复合算子, 有界性, 紧性, 一般 Hardy 型空间, 单位圆盘

Abstract:

Let $\varphi$ be an analytic self-map of the unit disc ${\Bbb D}$ in the complex plane ${\Bbb C}$ . In this paper, the authors characterize those symbols $\varphi$ such that composition operators $C_{\varphi}$ are bounded or compact on the general Hardy type space $H^{p,q,s}({\Bbb D})$ .

Key words: Composition operator, Boundedness, Compactness, General Hardy type space, Unit disc

中图分类号:

O174.56

陈洪欣,张学军,周敏. $\boldsymbol{H^{p,q,s}}({\Bbb D})$ 上的复合算子[J]. 数学物理学报, 2023, 43(1): 1-13.

Chen Hongxin,Zhang Xuejun,Zhou Min. Composition Operators on $\boldsymbol{H^{p,q,s}}({\Bbb D})$ [J]. Acta mathematica scientia,Series A, 2023, 43(1): 1-13.

参考文献 17

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$\boldsymbol{H^{p,q,s}}({\Bbb D})$ 上的复合算子

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