UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS

doi:10.1007/s10473-022-0123-y

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

UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS

韩凯凯^1,2, 王茂发¹, 吴奇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 HAN^1,2, Maofa WANG¹, Qi WU¹

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/Abstract

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

韩凯凯, 王茂发, 吴奇. UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS[J]. 数学物理学报(英文版), 2022, 42(1): 420-428.

Kaikai HAN, Maofa WANG, Qi WU. UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS[J]. Acta mathematica scientia,Series B, 2022, 42(1): 420-428.

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UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS

UNBOUNDED COMPLEX SYMMETRIC TOEPLITZ OPERATORS

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