Trace Class Toeplitz Operators with Unbounded Symbols on Weighted Bergman Spaces  

作　　者：Sui HUANG Guang Fu CAO 

机构地区：[1]Departement of Mathematics, Guangzhou University, Guangzhou 510006, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第8期1567-1574,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10671042);Research Fund for Doctoral Program of Higher Education

摘　　要：In this note we construct a function φ in L2（Bn,dμ） which is unbounded on any neighborhood of each boundary point of Bn such that Tφ is a trace class operator on weighted Bergman space Lα2（Bn,dμ） for several complex variables.In this note we construct a function φ in L2（Bn,dμ） which is unbounded on any neighborhood of each boundary point of Bn such that Tφ is a trace class operator on weighted Bergman space Lα2（Bn,dμ） for several complex variables.

关 键 词：Toeplitz operator unbounded function compact operator 

分 类 号：O177.1[理学—数学] O177.3[理学—基础数学]