Compact Toeplitz operators on the weighted Dirichlet space

被引:0
作者
Yu Feng Lu
Yin Yin Hu
Liu Liu
机构
[1] Dalian University of Technology,School of Mathematical Sciences
来源
Acta Mathematica Sinica, English Series | 2015年 / 31卷
关键词
Toeplitz operator; Dirichlet space; compactness; 47B35;
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中图分类号
学科分类号
摘要
In this paper, we completely characterize the compactness of Toeplitz operators with continuous symbol on the weighted Dirichlet space.
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页码:35 / 43
页数:8
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共 16 条
[1]  
Axler S(1998)Compact operators via the Berezin transform India. Univ. Math. J. 47 387-400
[2]  
Zheng D(1964)Algebraic properties of Toeplitz operator J. Reine Angew. Math. 213 89-102
[3]  
Brown A(1995)An application of Tauberian theorems to Toeplitz operators J. Operator Theory 33 353-361
[4]  
Halmos P R(2009)Compact Toeplitz operators with continuous symbols Glasgow Math J. 51 257-261
[5]  
Korenblum B(2010)On Toeplitz operators on Bergman spaces of the unit polydisk Proc. Amer. Math. Soc. 138 275-285
[6]  
Zhu K H(2007)Algebraic properties of Toeplitz operators on the Dirichlet space J. Math. Anal. Appl. 329 1316-1329
[7]  
Le T(2001)Toeplitz operators on Dirichlet spaces Acta Math. Sin., Engl. Series 17 643-648
[8]  
Le T(1996)Riesz’s functions in weighted Hardy and Bergman space Canad. J. Math. 48 930-945
[9]  
Lee Y J(2000)Compact Toeplitz operators with continuous symbols on weighted Bergman spaces Glasgow Math. J. 42 31-35
[10]  
Lu Y(2010)Toeplitz Operators on the Dirichlet Space Integr. Equ. Oper. Theory 67 163-170