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

页码：1989 / 2005

页数：17

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