A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2
We discussed the reducing subspaces of Toeplitz operators Tz1Nz2M N≠M on the weighted analytic function spaces of bidisk Hw2(D2). The result shows that if the weight w is of type-I, the structure of reducing subspaces of Tz1Nz2M N≠M on Hw2D2 is very simple.
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/5807909 |
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| _version_ | 1832553234188730368 |
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| author | Hongzhao Lin |
| author_facet | Hongzhao Lin |
| author_sort | Hongzhao Lin |
| collection | DOAJ |
| description | We discussed the reducing subspaces of Toeplitz operators Tz1Nz2M N≠M on the weighted analytic function spaces of bidisk Hw2(D2). The result shows that if the weight w is of type-I, the structure of reducing subspaces of Tz1Nz2M N≠M on Hw2D2 is very simple. |
| format | Article |
| id | doaj-art-fa422d423f144c5b8f9dbb67c874f2d4 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fa422d423f144c5b8f9dbb67c874f2d42025-02-03T05:55:17ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/58079095807909A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2Hongzhao Lin0College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fujian 350002, ChinaWe discussed the reducing subspaces of Toeplitz operators Tz1Nz2M N≠M on the weighted analytic function spaces of bidisk Hw2(D2). The result shows that if the weight w is of type-I, the structure of reducing subspaces of Tz1Nz2M N≠M on Hw2D2 is very simple.http://dx.doi.org/10.1155/2017/5807909 |
| spellingShingle | Hongzhao Lin A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2 Journal of Function Spaces |
| title | A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2 |
| title_full | A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2 |
| title_fullStr | A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2 |
| title_full_unstemmed | A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2 |
| title_short | A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2 |
| title_sort | note on reducing subspaces of toeplitz operator on the weighted analytic function spaces of the bidisk hw2d2 |
| url | http://dx.doi.org/10.1155/2017/5807909 |
| work_keys_str_mv | AT hongzhaolin anoteonreducingsubspacesoftoeplitzoperatorontheweightedanalyticfunctionspacesofthebidiskhw2d2 AT hongzhaolin noteonreducingsubspacesoftoeplitzoperatorontheweightedanalyticfunctionspacesofthebidiskhw2d2 |