On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866916086981591040 |
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| author | Vasilyev, Ioann |
| author_facet | Vasilyev, Ioann |
| contents | Local boundary smoothness of an analytic function f on the unit ball of C^n is compared to the smoothness of its modulus. We prove that different conditions imposed on the zeros of f imply different drops of the smoothness. We also show that some of the drops are the best possible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_12370 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus Vasilyev, Ioann Complex Variables Local boundary smoothness of an analytic function f on the unit ball of C^n is compared to the smoothness of its modulus. We prove that different conditions imposed on the zeros of f imply different drops of the smoothness. We also show that some of the drops are the best possible. |
| title | On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus |
| topic | Complex Variables |
| url | https://arxiv.org/abs/1811.12370 |