S_p-CLASS(0

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作　　者：夏锦 王晓峰 曹广福 

机构地区：[1]College of Mathematics,Guangzhou University [2]Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Highter Education Institutes,Guangzhou University

出　　处：《Acta Mathematica Scientia》2012年第5期1919-1928,共10页数学物理学报（B辑英文版）

基　　金：partly supported by NSFC (10971040)

摘　　要：In this paper,we construct a function u in L2,1（Bn,dA）,which is unbounded on any neighborhood of each boundary point of B n,such that Toeplitz operator Tu is compact on Dirichlet space D（Bn,dA）.Furthermore,Schatten p-class（0〈p〈∞） Toeplitz operators on Dirichlet space D（Bn,dA） with unbounded symbols are also obtained.In this paper,we construct a function u in L2,1（Bn,dA）,which is unbounded on any neighborhood of each boundary point of B n,such that Toeplitz operator Tu is compact on Dirichlet space D（Bn,dA）.Furthermore,Schatten p-class（0〈p〈∞） Toeplitz operators on Dirichlet space D（Bn,dA） with unbounded symbols are also obtained.

关 键 词：Toeplitz operator Dirichlet space Schatten p-class operator 

分 类 号：O177.1[理学—数学] O177.3[理学—基础数学]