Berezin transform of Toeplitz operators on Bergman space with Bekolle and Bonami weights
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914237261021184 |
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| author | Arroussi, Hicham Zhang, Zhan |
| author_facet | Arroussi, Hicham Zhang, Zhan |
| contents | In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role.
We completely characterized every case of the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami
weights in terms of Berezin transforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09885 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Berezin transform of Toeplitz operators on Bergman space with Bekolle and Bonami weights Arroussi, Hicham Zhang, Zhan Complex Variables Functional Analysis In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We completely characterized every case of the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami weights in terms of Berezin transforms. |
| title | Berezin transform of Toeplitz operators on Bergman space with Bekolle and Bonami weights |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2512.09885 |