Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915276194316288 |
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| author | Martín, María J. |
| author_facet | Martín, María J. |
| contents | We obtain the sharp upper and lower bounds for the growth and distortion of the analytic parts $h$ of orientation-preserving harmonic mappings $f=h+\overline g$ (normalized in the standard way) that map the unit disk onto a convex domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions Martín, María J. Complex Variables 31A05, 30C45, 30C75 We obtain the sharp upper and lower bounds for the growth and distortion of the analytic parts $h$ of orientation-preserving harmonic mappings $f=h+\overline g$ (normalized in the standard way) that map the unit disk onto a convex domain. |
| title | Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions |
| topic | Complex Variables 31A05, 30C45, 30C75 |
| url | https://arxiv.org/abs/2505.04319 |