Commuting Toeplitz Operators on Fock-Sobolev Spaces of Negative Orders  

作　　者：Hong Rae CHO Han-Wool LEE 

机构地区：[1]Department of Mathematics,Pusan National University,Busan 46241,Korea

出　　处：《Acta Mathematica Sinica,English Series》2023年第10期1989-2005,共17页数学学报（英文版）

基　　金：supported by NRF of Korea(Grant No.NRF-2020R1F1A1A01048601);supported by NRF of Korea(Grant No.NRF-2020R1I1A1A01074837)。

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 hyper geometric function.

关 键 词：Fock–Sobolev spaces commutator of Toeplitz operators Mellin Transform Confluent Hypergeometric Function 

分 类 号：O177[理学—数学]