Tp空间中小预对数导数模型
Small Pre-Logarithmic Derivative Model in Tp Space
摘要: 在研究万有Teichmüller空间过程中，通过Schwarzian导数，能够得到前Schwarzian导数(或对数导数)，从而定义小预对数导数模型，本文主要是在p次可积Teichmüller空间中得到小预对数导数模型中的一个连通分量T^P,b0。
Abstract: In the process of studying universal Teichmüller space, we can get the pre-Schwarzian derivative (logarithmic derivative) through Schwarzian, thus defining the small pre-Schwarzian model. In this paper, we mainly get a connected componentT^P,b0in the small model in p-integrable Teichmüller space.
文章引用：李梦雪, 何腾松. Tp空间中小预对数导数模型[J]. 理论数学, 2024, 14(4): 416-421. https://doi.org/10.12677/pm.2024.144149

参考文献

[1] Astala, K. and Zinsmeister, M. (1991) Teichmüller Spaces and BMOA. Mathematische Annalen, 289, 613-625. [Google Scholar] [CrossRef] 
[2] Fan, J. and Hu, J. (2016) Holomorphic Contractibility and Other Properties of the Weil-Petersson and VMOA Teichmüller spaces. Annales Fennici Mathematici, 41, 587-600. [Google Scholar] [CrossRef] 
[3] Gardiner, F.P. and Sullivan, D.P. (1992) Symmetric Structures on a Closed Curve. American Journal of Mathematics, 114, 683-736. [Google Scholar] [CrossRef] 
[4] Gay-Balmaz, F. and Ratiu, T.S. (2015) The Geometry of the Universal Teichmüller Space and the Euler-Weil-Petersson Equation. Advances in Mathematics, 279, 717-778. [Google Scholar] [CrossRef] 
[5] Nag, S. and Verjovsky, A. (1990) Diff(S1) and the Teichmüller Spaces. Communications in Mathematical Physics, 130, 123-138. [Google Scholar] [CrossRef] 
[6] Radnell, D., Schippers, E. and Staubach, W. (2015) A Hilbert Manifold Structure on the Weil-Petersson Class Teichmüller Space of Bordered Riemann Surfaces. Communications in Contemporary Mathematics, 17, Article ID: 1550016. [Google Scholar] [CrossRef] 
[7] Shen, Y. and Tang, S. (2020) Weil-Petersson Teichmüller Space II: Smoothness of Flow Curves of H^(3/2) Vector Fields. Advances in Mathematics, 359, Article ID: 106891. [Google Scholar] [CrossRef] 
[8] Shen, Y. and Wei, H. (2013) Universal Teichmüller Space and BMO. Advances in Mathematics, 34, 129-148. [Google Scholar] [CrossRef] 
[9] Shen, Y.L. and Wu, L. (2021) Weil-Petersson Teichmüller Space III: Dependence of Riemann Mappings for Weil-Petersson Curves. Mathematische Annalen, 381, 857-904. [Google Scholar] [CrossRef] 
[10] Wei, H. and Matsuzaki, K. (2021) Teichmüller Spaces of Piecewise Symmetric Homeomorphisms on the Unit Circle. Pacific. Journal of Mathematics, 314, 495-514. [Google Scholar] [CrossRef] 
[11] Lehto, O. (1986) Univalent Functions and Teichmüller Spaces. Springer, New York. [Google Scholar] [CrossRef] 
[12] Nag, S. (1988) The Complex Analytic Theory of Teichmüller Space. Wiley, Hoboken.
[13] Hu, G. Liu, Y. and Qi, Y. (2020) Morrey Type Teichmüller Space and Higher Bers Maps. Journal of Mathematical Inequalities, 14, 781-804. [Google Scholar] [CrossRef] 
[14] Zhuravlev, I. (1986) Model of the Universal Teichmüller Space. Siberian Mathematical Journal, 27, 691-697. [Google Scholar] [CrossRef] 
[15] Ahlfors, L.V. (2006) Lectures on Quasiconformal Mappings. American Mathematical Society. [Google Scholar] [CrossRef] 
[16] Tang, S., Hu, G. and Shi, Q. (2019) Higher Schwarzian Derivative and Dirichlet Morrey Space. OA, 33, 5489-5498. [Google Scholar] [CrossRef] 
[17] Letho, O. (2012) Univalent Functions and Teichmüller Spaces. Springer, Berlin.

为你推荐