Maximal functions and multipliers for subkernels of Toeplitz operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917295094235136 |
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| author | Câmara, M. Cristina Carteiro, C. Diogo, C. |
| author_facet | Câmara, M. Cristina Carteiro, C. Diogo, C. |
| contents | We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi's representation, for some important classes of Toeplitz kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22411 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Maximal functions and multipliers for subkernels of Toeplitz operators Câmara, M. Cristina Carteiro, C. Diogo, C. Functional Analysis 47B35, 47B38, 30H10 We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi's representation, for some important classes of Toeplitz kernels. |
| title | Maximal functions and multipliers for subkernels of Toeplitz operators |
| topic | Functional Analysis 47B35, 47B38, 30H10 |
| url | https://arxiv.org/abs/2602.22411 |