Dirichlet空间上Bergman型Toeplitz算子的代数性质

秦杰, 刘柚岐, 黄穗

数学学报 ›› 2019, Vol. 62 ›› Issue (3) : 449-456.

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数学学报 ›› 2019, Vol. 62 ›› Issue (3) : 449-456. DOI: 10.12386/A2019sxxb0042
论文

Dirichlet空间上Bergman型Toeplitz算子的代数性质

    秦杰, 刘柚岐, 黄穗
作者信息 +

Algebraic Properties of Bergman-Type Toeplitz Operators on the Dirichlet Space

    Jie QIN, You Qi LIU, Sui HUANG
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文章历史 +

摘要

本文讨论了Dirichlet空间上由调和函数诱导的Bergman型Toeplitz算子的基本性质和代数性质,包括此类算子的自伴性、乘积性质、交换性及可逆性,并计算了算子的谱.

Abstract

We study preliminary properties and algebraic properties of Bergman-type Toeplitz operators which are induced by harmonic symbols on the Dirichlet space, including self-adjointness, products, commutativity and invertibility. Moreover, the spectra of the Toeplitz operator are calculated.

关键词

Toeplitz算子 / Dirichlet空间 / 自伴性 / 交换性 / 可逆性

Key words

Toeplitz operators / Dirichlet space / self-adjointness / commutativity / invertibility

引用本文

导出引用
秦杰, 刘柚岐, 黄穗. Dirichlet空间上Bergman型Toeplitz算子的代数性质. 数学学报, 2019, 62(3): 449-456 https://doi.org/10.12386/A2019sxxb0042
Jie QIN, You Qi LIU, Sui HUANG. Algebraic Properties of Bergman-Type Toeplitz Operators on the Dirichlet Space. Acta Mathematica Sinica, Chinese Series, 2019, 62(3): 449-456 https://doi.org/10.12386/A2019sxxb0042

参考文献

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基金

国家自然科学基金资助项目(11501068);重庆市教委科研项目(KJ1600302)

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