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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2406.13917 |
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| _version_ | 1866915708183511040 |
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| author | Matsuzaki, Katsuhiko Wei, Huaying |
| author_facet | Matsuzaki, Katsuhiko Wei, Huaying |
| contents | We study the embedding of integrable Teichmüller spaces $T_p$ into analytic Besov spaces via pre-Schwarzian derivatives. In contrast to the Bers embedding by Schwarzian derivatives, a significant difference arises between the cases $p>1$ and $p=1$. In this paper we focus on the case $p=1$ and extend previous results obtained for $p>1$. This provides a unified framework for the complex-analytic theory of integrable Teichmüller spaces $T_p$ for all $p \geq 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces Matsuzaki, Katsuhiko Wei, Huaying Complex Variables We study the embedding of integrable Teichmüller spaces $T_p$ into analytic Besov spaces via pre-Schwarzian derivatives. In contrast to the Bers embedding by Schwarzian derivatives, a significant difference arises between the cases $p>1$ and $p=1$. In this paper we focus on the case $p=1$ and extend previous results obtained for $p>1$. This provides a unified framework for the complex-analytic theory of integrable Teichmüller spaces $T_p$ for all $p \geq 1$. |
| title | Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2406.13917 |