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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2510.10373 |
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| _version_ | 1866912644024238080 |
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| author | Salas, Hector N. |
| author_facet | Salas, Hector N. |
| contents | For Banach spaces of analytic functions on the disc for which the polynomials are dense and their pointt evaluations continuous, we prove the following: If they contain a function such that the limit superior of its modulus is infinite almost everywhere on the unit circle, then the same is true for a residual set of functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary behavior of analytic functions on certain Banach spaces Salas, Hector N. Complex Variables 30B30 (Primary) 30J99, 30H10, 30H20 (Secondary) For Banach spaces of analytic functions on the disc for which the polynomials are dense and their pointt evaluations continuous, we prove the following: If they contain a function such that the limit superior of its modulus is infinite almost everywhere on the unit circle, then the same is true for a residual set of functions. |
| title | Boundary behavior of analytic functions on certain Banach spaces |
| topic | Complex Variables 30B30 (Primary) 30J99, 30H10, 30H20 (Secondary) |
| url | https://arxiv.org/abs/2510.10373 |