Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space

Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space

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摘要 In this paper, we construct the function u in L2（Bn, dA） which is unbounded on any neighborhood of each boundary point of Bn such that Tu is the Schatten p-class （0 〈 p 〈 ∞） operator on pluriharmonic Bergman space h2（Bn, dA） for several complex variables. In addition, we also discuss the compactness of Toeplitz operators with L1 symbols. In this paper, we construct the function u in L2（Bn, dA） which is unbounded on any neighborhood of each boundary point of Bn such that Tu is the Schatten p-class （0 〈 p 〈 ∞） operator on pluriharmonic Bergman space h2（Bn, dA） for several complex variables. In addition, we also discuss the compactness of Toeplitz operators with L1 symbols.

作者 Xiao Feng WANG Jin XIA Guang Fu CAO

机构地区 School of Mathematics and Information Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第12期2355-2366,共12页 数学学报（英文版）

基金 Supported by National Natural Science Foundation of China(Grant No.11271092)

关键词 Toeplitz operators unbounded functions Schatten p-class operators Toeplitz operators, unbounded functions, Schatten p-class operators

分类号 O177 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2013年第12期

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Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space

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