Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball
We extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball. Spherical coordinates previously used hid a possibility to detect an essentially wider class of symbols that can generate commutative Ban...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/306168 |
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| _version_ | 1832564980565671936 |
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| author | Alma García Nikolai Vasilevski |
| author_facet | Alma García Nikolai Vasilevski |
| author_sort | Alma García |
| collection | DOAJ |
| description | We extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball. Spherical coordinates previously used hid a possibility to detect an essentially wider class of symbols that can generate commutative Banach Toeplitz operator algebras. We characterize these new algebras describing their properties and, under a certain extra condition, construct the corresponding Gelfand theory. |
| format | Article |
| id | doaj-art-a31034b1c1194e17a2dc03c77bc94ed4 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a31034b1c1194e17a2dc03c77bc94ed42025-02-03T01:09:44ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/306168306168Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit BallAlma García0Nikolai Vasilevski1Department of Mathematics, CINVESTAV, Mexico City 07360, MexicoDepartment of Mathematics, CINVESTAV, Mexico City 07360, MexicoWe extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball. Spherical coordinates previously used hid a possibility to detect an essentially wider class of symbols that can generate commutative Banach Toeplitz operator algebras. We characterize these new algebras describing their properties and, under a certain extra condition, construct the corresponding Gelfand theory.http://dx.doi.org/10.1155/2015/306168 |
| spellingShingle | Alma García Nikolai Vasilevski Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball Journal of Function Spaces |
| title | Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball |
| title_full | Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball |
| title_fullStr | Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball |
| title_full_unstemmed | Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball |
| title_short | Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball |
| title_sort | toeplitz operators on the weighted bergman space over the two dimensional unit ball |
| url | http://dx.doi.org/10.1155/2015/306168 |
| work_keys_str_mv | AT almagarcia toeplitzoperatorsontheweightedbergmanspaceoverthetwodimensionalunitball AT nikolaivasilevski toeplitzoperatorsontheweightedbergmanspaceoverthetwodimensionalunitball |