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arXiv · 2406.13917

Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichm\"uller spaces

Katsuhiko Matsuzaki·Huaying Wei
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Abstract

We study the embedding of integrable Teichm\"uller 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 Teichm\"uller spaces $T_p$ for all $p \geq 1$.

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Katsuhiko Matsuzaki, Huaying Wei. 2024-06-20. Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichm\"uller spaces. https://arxiv.org/abs/2406.13917

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