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arXiv · 2210.04720

The $p$-integrable Teichm\"uller space for $p \geqslant 1$

Huaying Wei·Katsuhiko Matsuzaki
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Abstract

We verify that the $p$-integrable Teichm\"uller space $T_p$ admits the canonical complex Banach manifold structure for any $p \geq 1$. Moreover, we characterize a quasisymmetric homeomorphism corresponding to an element of $T_p$ in terms of the $p$-Besov space for any $p>1$.

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Huaying Wei, Katsuhiko Matsuzaki. 2022-10-10. The $p$-integrable Teichm\"uller space for $p \geqslant 1$. https://doi.org/10.3792/pjaa.99.008

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