The Universal Teichmüller Space and Function Space
The Universal Teichmüller Space and Function Space
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DOI：
10.1155/2020/8451832
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发表时间：
2020-01
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通讯作者：
Y. Liu;Y. Qi
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文献类型：
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作者：
Y. Liu;Y. Qi
本文引入了通用 Teichmüller 空间的子空间 TF0(2,1− s,s)，它与解析函数空间 F0(2, 1 − s, s) 相关，并给出了 Bers 映射的全纯性。还证明了前Bers映射是全纯的，并且TF0(2,1− s,s)的前对数导数模型TF0(2,1− s,s)是函数空间F0(2, 1 − s, s)的不连通子集。此外，还得到了TF0(2,1− s,s)元素的几个等价描述，并证明了高阶Bers映射的全纯性。
In this paper, a subspaceTF0(2,1− s,s) of the universal Teichmüller space, which is related to the analytic function space F0(2, 1 − s, s), is introduced and the holomorphy of the Bers map is shown. It is also proved that the pre-Bers map is holomorphic and the prelogarithmic derivative model TF0(2,1− s,s) of TF0(2,1− s,s) is a disconnected subset of the function space F0(2, 1 − s, s). Moreover, several equivalent descriptions of elements of TF0(2,1− s,s) are obtained and the holomorphy of higher Bers maps is proved.