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.