On the integral means spectrum of univalent functions with quasconformal extensions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914920415625216 |
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| author | Jin, Jianjun |
| author_facet | Jin, Jianjun |
| contents | In this note we show that the integral means spectrum of any univalent function admitting a quasiconformal extension to the extended complex plane is strictly less than the universal integral means spectrum. This gives an affirmative answer to a question raised in our recent paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19240 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the integral means spectrum of univalent functions with quasconformal extensions Jin, Jianjun Complex Variables 30C55, 30C62 In this note we show that the integral means spectrum of any univalent function admitting a quasiconformal extension to the extended complex plane is strictly less than the universal integral means spectrum. This gives an affirmative answer to a question raised in our recent paper. |
| title | On the integral means spectrum of univalent functions with quasconformal extensions |
| topic | Complex Variables 30C55, 30C62 |
| url | https://arxiv.org/abs/2407.19240 |