Univalence criterion and quasiconformal extension of holomorphic mappings

Univalence criterion and quasiconformal extension of holomorphic mappings
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全纯映射的单价准则和拟共形扩展

DOI：
10.1007/s00229-012-0568-8
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发表时间：
2013
期刊：
Manuscripta Math.
影响因子：
--
通讯作者：
H . Hamada and G. Kohr
H . Hamada and G. Kohr
中科院分区：
--
文献类型：
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作者：
K. Fuji;K. Inoue;K. Shinomiya;T. Suzuki;H . Hamada and G. Kohr

文献摘要

相似文献

本文研究了欧氏单位球Bin上具有非正规从属链的Loewner微分方程的解，特别是单叶解.我们也给出了B上全纯映射的单叶性条件和拟共形扩张的应用.最后，我们考虑这些结果的渐近情况。本文的结果完全推广到高维的著名结果由于Becker。它们改进和推广了B上全纯映射的单叶性和拟共形扩张到的充分条件.
In this paper we are concerned with solutions, in particular with the univalent solutions, of the Loewner differential equation associated with non-normalized subordination chains on the Euclidean unit ballBin. We also give applications to univalence conditions and quasiconformal extensions toof holomorphic mappings onB. Finally we consider the asymptotical case of these results. The results in this paper are complete generalizations to higher dimensions of well known results due to Becker. They improve and extend previous sufficient conditions for univalence and quasiconformal extension toof holomorphic mappings onB.