Normal Toeplitz Operators on the Bergman Space

被引：0
|
作者：
Kim, Sumin [1 ]
Lee, Jongrak [2 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea
来源：
MATHEMATICS | 2020年 / 8卷 / 09期
关键词：
Toeplitz operator; normal operator; Bergman space;
D O I：
10.3390/math8091463
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a characterization of normality of Toeplitz operator T(phi)on the Bergman space A(2)(D). First, we state basic properties for Toeplitz operator T-phi on A(2)(D). Next, we consider the normal Toeplitz operator T-phi on A(2)(D) in terms of harmonic symbols phi. Finally, we characterize the normal Toeplitz operators T-phi with non-harmonic symbols acting on A(2)(D).
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页数：9
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