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

• 论文 • 上一篇    下一篇

REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA

陈泳1, 刘亚2, 秦春桃3   

  1. 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. 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: 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