Commuting Toeplitz Operators on Fock-Sobolev Spaces of Negative Orders

被引：1
|
作者：
Cho, Hong Rae [1 ]
Lee, Han-Wool [1 ]
机构：
[1] Pusan Natl Univ, Dept Math, Busan 46241, South Korea
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2023年 / 39卷 / 10期
关键词：
Fock-Sobolev spaces; commutator of Toeplitz operators; Mellin Transform; Confluent Hypergeometric Function; SYMBOLS; QUANTIZATION; COMMUTANTS;
D O I：
10.1007/s10114-023-1541-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the setting of Fock-Sobolev spaces of positive orders over the complex plane, Choe and Yang showed that if the one of the symbols of two commuting Toeplitz operators with bounded symbols is non-trivially radial, then the other must also be radial. In this paper, we extend this result to the Fock-Sobolev space of negative order using the Fock-type space with a confluent hypergeometric function.
引用
收藏
页码：1989 / 2005
页数：17
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