Fock空间上径向函数诱导的Toeplitz算子  

Toeplitz Operators with Radial Symbols on Fock Space

作　　者：黄穗 Sui HUANG(School of Mathematical Sciences,Chongqing Normal University, Chongqing 401331,P.R.China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《数学学报（中文版）》2019年第2期345-352,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11501068);重庆市教委科研资助项目(KJ1600302)

摘　　要：本文讨论了Fock空间上以径向函数和拟齐次函数为符号的Toeplitz算子的代数性质,给出了两个以径向函数为符号的Toeplitz算子的积仍为Toeplitz算子的充分必要条件,并且研究了以拟齐次函数为符号的Toeplitz算子的交换性.We discuss some algebraic properties of Toeplitz operators with a class of radial and quasi-homogeneous symbols on the Fock space of the complex plane. We give necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be a Toeplitz operator, and study the zero-product problem of several such Toeplitz operators. Furthermore, the corresponding commuting problem of Toeplitz operators with quasi-homogeneous symbols is studied.

关 键 词：TOEPLITZ算子 FOCK空间 径向函数 拟齐次函数 

分 类 号：O177.1[理学—数学]