The $p$-integrable Teichmüller space for $p \geqslant 1$

Pub Date : 2022-10-10 DOI:10.3792/pjaa.99.008
Huaying Wei, Katsuhiko Matsuzaki
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引用次数: 1

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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的$p$ -可积的teichm空间 $p \geqslant 1$
证明了$p$ -可积的teichm ller空间$T_p$对任意$p \geq 1$允许正则复Banach流形结构。此外,我们在$p$ -Besov空间中对任意$p>1$刻画了对应于$T_p$的一个元素的拟对称同胚。
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