Toeplitz Operators on Dirichlet Spaces |
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| Authors: | Yu Feng Lu Shun Hua Sun |
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| Affiliation: | (1) Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China, CN;(2) Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China, E-mail: yufenglu@online.ln.cn, CN;(3) Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China, E-mail: shsun@mail.sc.cninfo.net, CN |
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| Abstract: | In this paper we study Toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of Toeplitz operators on Dirichlet spaces. Meanwhile, we give density theorems for Toeplitz operators on Dirichlet spaces Received December 22,1998, Revised March 27, 2000, Accepted June 27, 2000 |
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| Keywords: | Dirichlet space Toeplitz operator Compact operator Strong operator topology |
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