Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
| Autor: | Zhi Ling Sun, Yu Feng Lu |
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| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2011 (2011) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2011/210596 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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