一类截断Hankel算子的复对称性  

Complex Symmetry for a Class of Truncated Hankel Operators

作　　者：赖丽玲 梁金金 陈泳 Lai Liling;Liang Jinjin;Chen Yong(College of Mathematics and Computer Science,Zhejiang Normal University,Zhejiang Jinhua 321004;College of Mathematics,Hangzhou Normal University,Hangzhou 311121)

机构地区：[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

出　　处：《数学物理学报（A辑）》2022年第4期961-968,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11771401)。

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.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.

关 键 词：HANKEL算子 模空间 复对称性 有限Blaschke乘积 

分 类 号：O177.1[理学—数学]