Bergman空间上拟齐次Toeplitz算子的乘积(英文)  

Products of Toeplitz Operators with Quasihomogeneous Symbols on Bergman Space

作　　者：邓燕[1,2] 徐宪民[2] 

机构地区：[1]浙江师范大学数学系,金华321004 [2]嘉兴学院数学研究所,嘉兴314001

出　　处：《应用泛函分析学报》2009年第3期211-216,共6页Acta Analysis Functionalis Applicata

基　　金：Supported by National Natural Science Foundation of China(10671083)

摘　　要：使用Mellin变换作为工具,讨论了Bergman空间上以拟齐次函数为符号的Toeplitz算子的乘积问题,得出了当拟齐次函数的度处于三种不同情况时两个Toeplitz算子乘积仍是Toeplitz算子的充分必要条件.This paper concerns with the product of Toeplitz operators on the Bergman space with symbols in the quasihomogeneous functions.Three cases in terms of the degree of the symbol are discussed.By using Mellin transform,the necessary and sufficient conditions are given for the product of two Toeplitz operators to be a Toeplitz operator.These results improve the previous ones.

关 键 词：BERGMAN空间 TOEPLITZ算子 Mellin变换 拟齐次函数 

分 类 号：O177.6[理学—数学]