(m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk
We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,λ)-Berezin transform. In particular, our results generalized the results of K. Nam and D. C. Zheng to the ca...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/6804235 |
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| _version_ | 1832567944135049216 |
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| author | Ran Li Yufeng Lu |
| author_facet | Ran Li Yufeng Lu |
| author_sort | Ran Li |
| collection | DOAJ |
| description | We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,λ)-Berezin transform. In particular, our results generalized the results of K. Nam and D. C. Zheng to the case of operators acting on Aλ2(Dn). |
| format | Article |
| id | doaj-art-7806303960904bf1b8c57ec8b2a9864f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7806303960904bf1b8c57ec8b2a9864f2025-02-03T01:00:03ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/68042356804235(m,λ)-Berezin Transform on the Weighted Bergman Spaces over the PolydiskRan Li0Yufeng Lu1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,λ)-Berezin transform. In particular, our results generalized the results of K. Nam and D. C. Zheng to the case of operators acting on Aλ2(Dn).http://dx.doi.org/10.1155/2016/6804235 |
| spellingShingle | Ran Li Yufeng Lu (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk Journal of Function Spaces |
| title | (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk |
| title_full | (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk |
| title_fullStr | (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk |
| title_full_unstemmed | (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk |
| title_short | (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk |
| title_sort | m λ berezin transform on the weighted bergman spaces over the polydisk |
| url | http://dx.doi.org/10.1155/2016/6804235 |
| work_keys_str_mv | AT ranli mlberezintransformontheweightedbergmanspacesoverthepolydisk AT yufenglu mlberezintransformontheweightedbergmanspacesoverthepolydisk |