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Reducibility for a Class of Analytic Multipliers on Sobolev Disk Algebra

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Abstract

We prove the reducibility of analytic multipliers Mϕ with a class of finite Blaschke products symbol ϕ on the Sobolev disk algebra R(ⅅ). We also describe their nontrivial minimal reducing subspaces.

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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 311121, China

    Yong Chen

  2. College of Chemistry and Life Sciences, Zhejiang Normal University, **hua, 321004, China

    Ya Liu

  3. Department of Foundational Teaching, Hope College of Southwest Jiaotong University, Chengdu, 610400, China

    Chuntao Qin

Authors
  1. Yong Chen
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  2. Ya Liu
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  3. Chuntao Qin
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Corresponding author

Correspondence to Chuntao Qin.

Additional information

The paper was supported by NSFC (11771401) and ZJNSFC (LY14A010013).

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Chen, Y., Liu, Y. & Qin, C. Reducibility for a Class of Analytic Multipliers on Sobolev Disk Algebra. Acta Math Sci 41, 361–370 (2021). https://doi.org/10.1007/s10473-021-0202-5

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  • DOI: https://doi.org/10.1007/s10473-021-0202-5

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