Extremal Quasiconformal Mappings

Extremal Quasiconformal Mappings
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DOI:
10.1007/bf03322374
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发表时间:
1986-08
影响因子:
2.2
通讯作者:
K. Strebel
K. Strebel
中科院分区:
数学3区
文献类型:
--
作者:
K. Strebel

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一类qc映射可以由它们在G的全部或部分边界上的公共边界值或由同伦条件(在多重连通域上)或两者共同决定。一个qc映射,其中有最小的最大伸缩的所有映射,这样一个类被称为后Teichmliller,极值拟共形映射。
A class of qc mappings can be determined by their common boundary values on the whole or part of the boundary of G or by homotopy conditions (on domains of multiple connectivity) or both together. A qc mapping which has smallest maximal dilatation among all mappings of such a class is called, after Teichmliller, an extremal quasiconformal mapping.