一类截断Hankel算子的复对称性

数学物理学报 ›› 2022, Vol. 42 ›› Issue (4): 961-968.

• 论文 • 下一篇

一类截断Hankel算子的复对称性

赖丽玲¹(),梁金金¹(),陈泳^2,*()

¹ 浙江师范大学数学与计算机科学学院浙江金华 321004
² 杭州师范大学数学学院杭州 311121

收稿日期:2021-10-26 出版日期:2022-08-26 发布日期:2022-08-08
通讯作者: 陈泳 E-mail:2680634507@qq.com;861776003@qq.com;ychen@hznu.edu.cn
作者简介:赖丽玲, E-mail: 2680634507@qq.com|梁金金, E-mail: 861776003@qq.com
基金资助:
国家自然科学基金(11771401)

Complex Symmetry for a Class of Truncated Hankel Operators

Liling Lai¹(),Jinjin Liang¹(),Yong Chen^2,*()

¹ College of Mathematics and Computer Science, Zhejiang Normal University, Zhejiang Jinhua 321004
² College of Mathematics, Hangzhou Normal University, Hangzhou 311121

Received:2021-10-26 Online:2022-08-26 Published:2022-08-08
Contact: Yong Chen E-mail:2680634507@qq.com;861776003@qq.com;ychen@hznu.edu.cn
Supported by:
the NSFC(11771401)

摘要/Abstract

摘要：

截断Hankel算子是Hardy空间上的Hankel算子在模空间上的压缩.该文研究模空间上一类截断Hankel算子的复对称性, 给出了完全刻画. 所得结果表明, 截断Hankel算子的复对称可能仅与模空间有关, 也可能与模空间和算子的符号函数均相关.

关键词: Hankel算子, 模空间, 复对称性, 有限Blaschke乘积

Abstract:

The truncated Hankel operator is the compression to the model space of Hankel operator on the Hardy space. In this paper, the complex symmetry for a class of truncated Hankel operators is studied and the complete characterization is given. The obtained results show that, the complex symmetry of truncated Hankel operator may be related to the model space only, or to the model space and the symbol function of the operator both.

Key words: Hankel operator, Model space, Complex symmetry, Finite Blaschke product

中图分类号:

O177.1

赖丽玲,梁金金,陈泳. 一类截断Hankel算子的复对称性[J]. 数学物理学报, 2022, 42(4): 961-968.

Liling Lai,Jinjin Liang,Yong Chen. Complex Symmetry for a Class of Truncated Hankel Operators[J]. Acta mathematica scientia,Series A, 2022, 42(4): 961-968.

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一类截断Hankel算子的复对称性

Complex Symmetry for a Class of Truncated Hankel Operators

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