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

IF 0.4 4区数学 Q4 MATHEMATICS Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-10-10 DOI:10.3792/pjaa.99.008

Huaying Wei, Katsuhiko Matsuzaki

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

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审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.

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