Acta mathematica scientia,Series B ›› 2024, Vol. 44 ›› Issue (6): 2283-2295.doi: 10.1007/s10473-024-0613-1

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ON $Q_K(p)$-TEICHMÜULLER SPACES

Yi QI, Yan WU   

  1. 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).

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

CLC Number: 

  • 30C62
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