数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 420-428.doi: 10.1007/s10473-022-0123-y

• 论文 • 上一篇    下一篇

UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS

韩凯凯1,2, 王茂发1, 吴奇1   

  1. 1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China;
    2. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, China
  • 收稿日期:2020-05-15 修回日期:2021-06-23 出版日期:2022-02-25 发布日期:2022-02-24
  • 通讯作者: Kaikai HAN,E-mail:kkhan.math@whu.edu.cn E-mail:kkhan.math@whu.edu.cn
  • 作者简介:Maofa WANG,E-mail:mfwang.math@whu.edu.cn;Qi WU,E-mail:whuqwu@whu.edu.cn
  • 基金资助:
    This work was partially supported by the National Natural Science Foundation of China (11771340).

UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS

Kaikai HAN1,2, Maofa WANG1, Qi WU1   

  1. 1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China;
    2. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, China
  • Received:2020-05-15 Revised:2021-06-23 Online:2022-02-25 Published:2022-02-24
  • Contact: Kaikai HAN,E-mail:kkhan.math@whu.edu.cn E-mail:kkhan.math@whu.edu.cn
  • Supported by:
    This work was partially supported by the National Natural Science Foundation of China (11771340).

摘要: In this paper, we study unbounded complex symmetric Toeplitz operators on the Hardy space $H^{2}(\mathbb{D})$ and the Fock space $\mathscr{F}^{2}$. The technique used to investigate the complex symmetry of unbounded Toeplitz operators is different from that used to investigate the complex symmetry of bounded Toeplitz operators.

关键词: Toeplitz operator, Hardy space, Fock space, complex symmetry

Abstract: In this paper, we study unbounded complex symmetric Toeplitz operators on the Hardy space $H^{2}(\mathbb{D})$ and the Fock space $\mathscr{F}^{2}$. The technique used to investigate the complex symmetry of unbounded Toeplitz operators is different from that used to investigate the complex symmetry of bounded Toeplitz operators.

Key words: Toeplitz operator, Hardy space, Fock space, complex symmetry

中图分类号: 

  • 47B35