REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA

doi:10.1007/s10473-021-0202-5

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (2): 361-370.doi: 10.1007/s10473-021-0202-5

REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA

陈泳¹, 刘亚², 秦春桃³

1. Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China;
2. College of Chemistry and Life Sciences, Zhejiang Normal University, Jinhua 321004, China;
3. Department of Foundational Teaching, Hope College of Southwest Jiaotong University, Chengdu 610400, China

收稿日期:2019-04-02 修回日期:2020-05-24 出版日期:2021-04-25 发布日期:2021-04-29
通讯作者: Chuntao QIN E-mail:qinchuntao163@163.com
作者简介:Yong CHEN,E-mail:ychen227@gmail.com,ychen@hznu.edu.cn;Ya LIU,E-mail:yaliu227@gmail.com
基金资助:
The paper was supported by NSFC (11771401) and ZJNSFC (LY14A010013).

REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA

Yong CHEN¹, Ya LIU², Chuntao QIN³

1. Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China;
2. College of Chemistry and Life Sciences, Zhejiang Normal University, Jinhua 321004, China;
3. Department of Foundational Teaching, Hope College of Southwest Jiaotong University, Chengdu 610400, China

Received:2019-04-02 Revised:2020-05-24 Online:2021-04-25 Published:2021-04-29
Contact: Chuntao QIN E-mail:qinchuntao163@163.com
About author:Yong CHEN,E-mail:ychen227@gmail.com,ychen@hznu.edu.cn;Ya LIU,E-mail:yaliu227@gmail.com
Supported by:
The paper was supported by NSFC (11771401) and ZJNSFC (LY14A010013).

摘要/Abstract

摘要： We prove the reducibility of analytic multipliers $M_\phi$ with a class of finite Blaschke products symbol $\phi$ on the Sobolev disk algebra $R(\mathbb{D})$. We also describe their nontrivial minimal reducing subspaces.

关键词: Reducing subspace, multiplier, finite Blaschke product, Sobolev disk algebra

Abstract: We prove the reducibility of analytic multipliers $M_\phi$ with a class of finite Blaschke products symbol $\phi$ on the Sobolev disk algebra $R(\mathbb{D})$. We also describe their nontrivial minimal reducing subspaces.

Key words: Reducing subspace, multiplier, finite Blaschke product, Sobolev disk algebra

中图分类号:

47B37

陈泳, 刘亚, 秦春桃. REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA[J]. 数学物理学报(英文版), 2021, 41(2): 361-370.

Yong CHEN, Ya LIU, Chuntao QIN. REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA[J]. Acta mathematica scientia,Series B, 2021, 41(2): 361-370.

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REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA

REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA

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