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Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols

Author

Listed:
  • Zhi-Ling Sun

    (College of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028043, China)

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan)

  • Feng Qi

    (School of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, China
    School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
    Independent Researcher, Dallas, TX 75252-8024, USA)

Abstract

The main aim of this paper is to study new features and specific properties of the Toeplitz operator with radial symbols in harmonic Fock spaces. A new spectral decomposition of a Toeplitz operator with Wick symbols is also established.

Suggested Citation

  • Zhi-Ling Sun & Wei-Shih Du & Feng Qi, 2024. "Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols," Mathematics, MDPI, vol. 12(4), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:565-:d:1338424
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    References listed on IDEAS

    as
    1. Li He & Biqian Wu & Yongqiang Fu, 2023. "Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space," Journal of Mathematics, Hindawi, vol. 2023, pages 1-7, April.
    2. Zhi Ling Sun & Yu Feng Lu, 2011. "Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, September.
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