ON $Q_K(p)$-TEICHMÜULLER SPACES

doi:10.1007/s10473-024-0613-1

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (6): 2283-2295.doi: 10.1007/s10473-024-0613-1

ON $Q_K(p)$-TEICHMÜULLER SPACES

Yi QI, Yan WU^†

1. School of Mathematical Sciences, Beihang University, Beijing 100191, China;
2. School of Mathematics and Statistics, Linyi University, Linyi 276000, China

收稿日期:2023-08-20 修回日期:2024-04-29 发布日期:2024-12-06
通讯作者: † Yan WU, E-mail: wuyan@lyu.edu.cn
作者简介:Yi QI, E-mail: yiqi@buaa.edu.cn
基金资助:
Qi's research was supported by the National Natural Science Foundation of China (12271017); Wu's research was supported by the Natural Science Foundation of Shandong Province (ZR2022MA018) and by the National Natural Science Foundation of China (12171221).

ON $Q_K(p)$-TEICHMÜULLER SPACES

Yi QI, Yan WU^†

1. School of Mathematical Sciences, Beihang University, Beijing 100191, China;
2. School of Mathematics and Statistics, Linyi University, Linyi 276000, China

Received:2023-08-20 Revised:2024-04-29 Published:2024-12-06
Contact: † Yan WU, E-mail: wuyan@lyu.edu.cn
About author:Yi QI, E-mail: yiqi@buaa.edu.cn
Supported by:
Qi's research was supported by the National Natural Science Foundation of China (12271017); Wu's research was supported by the Natural Science Foundation of Shandong Province (ZR2022MA018) and by the National Natural Science Foundation of China (12171221).

摘要/Abstract

摘要： The $Q_K(p)$-Teichmüllerspace is introduced and studied in this paper. Various characterizations of the $Q_K(p)$-Teichmüllerspace and the $Q_{K,0}(p)$-Teichmüllerspace are given. Their Schwarzian derivative model and pre-logarithmic derivative model are also discussed.

关键词: $Q_K(p,q)$ spaces, universal Teichmüllerspace, Schwarzian derivative, pre-logarithmic derivative, Carleson measure

Abstract: The $Q_K(p)$-Teichmüllerspace is introduced and studied in this paper. Various characterizations of the $Q_K(p)$-Teichmüllerspace and the $Q_{K,0}(p)$-Teichmüllerspace are given. Their Schwarzian derivative model and pre-logarithmic derivative model are also discussed.

Key words: $Q_K(p,q)$ spaces, universal Teichmüllerspace, Schwarzian derivative, pre-logarithmic derivative, Carleson measure

中图分类号:

30C62

Yi QI, Yan WU. ON $Q_K(p)$-TEICHMÜULLER SPACES[J]. 数学物理学报(英文版), 2024, 44(6): 2283-2295.

Yi QI, Yan WU. ON $Q_K(p)$-TEICHMÜULLER SPACES[J]. Acta mathematica scientia,Series B, 2024, 44(6): 2283-2295.

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ON $Q_K(p)$-TEICHMÜULLER SPACES

ON $Q_K(p)$-TEICHMÜULLER SPACES

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