Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces

被引：0
|
作者：
Zhang, Yiyuan [1 ]
Cao, Guangfu [1 ]
He, Li [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2022年 / 43卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Toeplitz product; Hankel product; Fock-Sobolev space; BERGMAN SPACE;
D O I：
10.1007/s11401-022-0331-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors investigate the boundedness of Toeplitz product TfTg and Hankel product H-f*H-g on Fock-Sobolev space for f, g is an element of P. As a result, the boundedness of Toeplitz operator Tf and Hankel operator H-f with f is an element of P is characterized.
引用
收藏
页码：401 / 416
页数：16
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