Toeplitz operators on Hardy-Sobolev spaces

被引：3
|
作者：
Cao, Guangfu [1 ]
He, Li [2 ]
机构：
[1] South China Agr Univ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 479卷 / 02期
关键词：
Hardy-Sobolev space; Toeplitz operator; Fredholm operator; Trace class operator; Toeplitz algebra; FREDHOLM PROPERTIES; PRODUCTS; SYMBOLS;
D O I：
10.1016/j.jmaa.2019.07.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct compact Toeplitz operators and trace class Toeplitz operators with unbounded symbols on Hardy-Sobolev spaces. We also characterize the compactness of finite sums of products of two Toeplitz operators on these spaces. Then, we study the Fredholmness of the Toeplitz operators and calculate the essential norm of them. In addition, we consider the C*-algebra generated by Toeplitz operators. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：2165 / 2195
页数：31
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