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

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

作     者:Xiao Feng WANG Jin XIA Guang Fu CAO 

作者机构:School of Mathematics and Information ScienceKey Laboratory of Mathematics and Interdisciplinary Sciences of GuangdongHigher Education Institutes Guangzhou University 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2013年第29卷第12期

页      面:2355-2366页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by National Natural Science Foundation of China(Grant No.11271092) 

主  题:Toeplitz operators unbounded functions Schatten p-class operators 

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.

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