Invertibility of Bergman Toeplitz operators with harmonic polynomial symbols  

作　　者：Nanxing Guan Xianfeng Zhao 

机构地区：[1]School of Mathematics and Statistics,Chuxiong Normal University,Chuxiong 675000,China [2]College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China

出　　处：《Science China Mathematics》2020年第5期965-978,共14页中国科学：数学（英文版）

基　　金：supported by the Yunnan Natural Science Foundation(Grant No.201601YA00004);supported by National Natural Science Foundation of China(Grant No.11701052);Chongqing Natural Science Foundation(Grant No.cstc2017jcyjAX0373);the Fundamental Research Funds for the Central Universities(Grant Nos.106112016CDJRC000080 and 106112017CDJXY100007)。

摘　　要：Let p be an analytic polynomial on the unit disk.We obtain a necessary and sufficient condition for Toeplitz operators with the symbol z+p to be invertible on the Bergman space when all coefficients of p are real numbers.Furthermore,we establish several necessary and sufficient,easy-to-check conditions for Toeplitz operators with the symbol z+p to be invertible on the Bergman space when some coefficients of p are complex numbers.

关 键 词：Bergman space Toeplitz operator harmonic polynomial symbol INVERTIBILITY 

分 类 号：O177[理学—数学]