Numerical range of Toeplitz and Composition operators on weighted Bergman spaces
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910814777114624 |
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| author | Sen, Anirban Halder, Subhadip Birbonshi, Riddhick Paul, Kallol |
| author_facet | Sen, Anirban Halder, Subhadip Birbonshi, Riddhick Paul, Kallol |
| contents | In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted composition operators on weighted Bergman spaces and classify some sets which are the numerical range of composition operators. We investigate the inclusion of zero in the numerical range, and compute the radius of circle and ellipse contained in the numerical range of weighted composition operators on weighted Bergman spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02833 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical range of Toeplitz and Composition operators on weighted Bergman spaces Sen, Anirban Halder, Subhadip Birbonshi, Riddhick Paul, Kallol Functional Analysis 47A12, 47B33 In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted composition operators on weighted Bergman spaces and classify some sets which are the numerical range of composition operators. We investigate the inclusion of zero in the numerical range, and compute the radius of circle and ellipse contained in the numerical range of weighted composition operators on weighted Bergman spaces. |
| title | Numerical range of Toeplitz and Composition operators on weighted Bergman spaces |
| topic | Functional Analysis 47A12, 47B33 |
| url | https://arxiv.org/abs/2502.02833 |