应用泛函分析学报2008，Vol.10Issue(4)：298-304,7.
n维单位球面上的Toeplitz符号演算
Toeplitz Symbol Calculus on the Unit Sphere in Cn
摘要
Abstract
We investigate the properties of Berezin transform and Toeplitz operators on the unit sphere S in Cn.We obtain the symbol of an operator Tin the C*-algebra I(L∞(S))generated by{Tψ,ψ∈L∞(S))as the nontangential boundary value of a certain function T(~)(called the Berezin transform of T)on the unit hall B.Furthermore,we construct interesting extensions of the classical Toeplitz symbol calculus for Toeplitz operators tO larger operator algebras.关键词
Hardy空间/Toeplitz算子/Berezin变换/半交换子理想Key words
Hardy space/Toeplitz operator/Berezin transform/semicommutator ideal分类
数理科学引用本文复制引用
孔德芳,徐宪民..n维单位球面上的Toeplitz符号演算[J].应用泛函分析学报,2008,10(4):298-304,7.基金项目
Supported by National Natural Science Foundation of China(10371051):Natural Science Foundation of Zhejiang Province(M103072) （10371051）
Jiaxing University Research Subject(70108002) （70108002）
