Hyponormal Toeplitz Operators on the Dirichlet Spaces
We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/186326 |
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| _version_ | 1832562827369381888 |
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| author | Puyu Cui Yufeng Lu |
| author_facet | Puyu Cui Yufeng Lu |
| author_sort | Puyu Cui |
| collection | DOAJ |
| description | We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space. |
| format | Article |
| id | doaj-art-972b1d4562f04241962cae87fcc49549 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-972b1d4562f04241962cae87fcc495492025-02-03T01:21:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/186326186326Hyponormal Toeplitz Operators on the Dirichlet SpacesPuyu Cui0Yufeng Lu1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.http://dx.doi.org/10.1155/2013/186326 |
| spellingShingle | Puyu Cui Yufeng Lu Hyponormal Toeplitz Operators on the Dirichlet Spaces Abstract and Applied Analysis |
| title | Hyponormal Toeplitz Operators on the Dirichlet Spaces |
| title_full | Hyponormal Toeplitz Operators on the Dirichlet Spaces |
| title_fullStr | Hyponormal Toeplitz Operators on the Dirichlet Spaces |
| title_full_unstemmed | Hyponormal Toeplitz Operators on the Dirichlet Spaces |
| title_short | Hyponormal Toeplitz Operators on the Dirichlet Spaces |
| title_sort | hyponormal toeplitz operators on the dirichlet spaces |
| url | http://dx.doi.org/10.1155/2013/186326 |
| work_keys_str_mv | AT puyucui hyponormaltoeplitzoperatorsonthedirichletspaces AT yufenglu hyponormaltoeplitzoperatorsonthedirichletspaces |