有限连通非smirnov型域上圆域的保角映射

IF 0.5 Q3 MATHEMATICS

Ufa Mathematical Journal Pub Date : 2017-01-01 DOI:10.13108/2017-9-1-3

F. Avkhadiev, P. Shabalin

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引用次数: 0

摘要

研究有限连通非smirnov型定义域上圆定义域共形映射导数的正则分解和积分表示。利用Zygmund类中的函数，得到了全局幺正性的条件。在此之前，一些作者仅对单连通域也得到了类似的结果。

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Conformal mappings of circular domains on finitely-connected non-Smirnov type domains

We consider a canonical factorization and integral representation for the derivatives of the conformal mappings of circular domains on finitely-connected non-Smirnov type domains. By means of the functions in the Zygmund class, we obtain the conditions for the global univalence. Earlier similar results were obtained by a series of authors just for simply-connected domains.

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来源期刊

Ufa Mathematical Journal MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量