Estimates for the hyperbolic metric of the punctured plane and applications

Estimates for the hyperbolic metric of the punctured plane and applications
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穿孔平面双曲度量的估计及应用

DOI:
10.1007/bf02772606
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发表时间:
2001
影响因子:
1
通讯作者:
M. Vuorinen
M. Vuorinen
中科院分区:
数学2区
文献类型:
--
作者:
A. Solynin;M. Vuorinen

文献摘要

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研究了二次穿孔复平面Ω的双曲测量Ω。给出了一种新的计算Ω密度的递推算法。对于真的子域GofΩ,我们回答了G.Martin关于G的拟共形映射的一个问题,它可以扩展到单位映射的补。
The hyperbolic metrichΩof the twice punctured complex plane Ω is studied. A new recursive algorithm for computing the density λΩofhΩis given. For a proper subdomainGof Ω we answer a question of G. Martin concerning quasiconformal mappings ofGthat can be extended to the complement ofGas the identity map.