On a multiplier operator induced by the Schwarzian derivative of univalent functions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911946048012288 |
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| author | Jin, Jianjun |
| author_facet | Jin, Jianjun |
| contents | In this paper we study a multiplier operator which is induced by the Schwarzian derivative of univalent functions with a quasiconformal extension to the extended complex plane. As applications, we show that the Brennan conjecture is satisfied for a large class of quasidisks. We also establish a new characterization of asymptotically conformal curves and of the Weil-Petersson curves in terms of the multiplier operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_01742 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On a multiplier operator induced by the Schwarzian derivative of univalent functions Jin, Jianjun Complex Variables In this paper we study a multiplier operator which is induced by the Schwarzian derivative of univalent functions with a quasiconformal extension to the extended complex plane. As applications, we show that the Brennan conjecture is satisfied for a large class of quasidisks. We also establish a new characterization of asymptotically conformal curves and of the Weil-Petersson curves in terms of the multiplier operator. |
| title | On a multiplier operator induced by the Schwarzian derivative of univalent functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2211.01742 |