Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space bμ2(Bn) is an isometric isomorphism between bμ2(Bn) and l2#. Furthermore, using the operator R we prove that each Toeplitz operator Ta with radial symbols is unitary to the multication operator γa,μI. Meanwhile, t...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/210596 |
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| _version_ | 1832565175239049216 |
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| author | Zhi Ling Sun Yu Feng Lu |
| author_facet | Zhi Ling Sun Yu Feng Lu |
| author_sort | Zhi Ling Sun |
| collection | DOAJ |
| description | We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space
bμ2(Bn) is an isometric isomorphism between bμ2(Bn) and l2#. Furthermore, using the operator R we prove
that each Toeplitz operator Ta with radial symbols is unitary to the multication operator γa,μI. Meanwhile, the Wick function of a Toeplitz operator with radial symbol gives complete information about
the operator, providing its spectral decomposition. |
| format | Article |
| id | doaj-art-860438c76c8a4cbabfcf1311d676f1d5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-860438c76c8a4cbabfcf1311d676f1d52025-02-03T01:09:02ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/210596210596Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial SymbolsZhi Ling Sun0Yu Feng Lu1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe construct an operator R whose restriction onto weighted pluriharmonic Bergman Space bμ2(Bn) is an isometric isomorphism between bμ2(Bn) and l2#. Furthermore, using the operator R we prove that each Toeplitz operator Ta with radial symbols is unitary to the multication operator γa,μI. Meanwhile, the Wick function of a Toeplitz operator with radial symbol gives complete information about the operator, providing its spectral decomposition.http://dx.doi.org/10.1155/2011/210596 |
| spellingShingle | Zhi Ling Sun Yu Feng Lu Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols Abstract and Applied Analysis |
| title | Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols |
| title_full | Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols |
| title_fullStr | Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols |
| title_full_unstemmed | Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols |
| title_short | Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols |
| title_sort | toeplitz operators on the weighted pluriharmonic bergman space with radial symbols |
| url | http://dx.doi.org/10.1155/2011/210596 |
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