On locally biholomorphic finitely valent mappings from multi-connected domains onto the open disc

被引：1

作者：

Liczberski, Piotr ^{[1
]}

Starkov, Victor V. ^{[2
]}

机构：

[1] Tech Univ Lodz, Inst Math, PL-90924 Lodz, Poland

[2] Petrozavodsk State Univ, Fac Math, Petrozavodsk 185910, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 353卷 / 01期

关键词：

Locally biholomorphic mappings; Finitely valent mappings; Riemann surfaces; Complex manifolds;

D O I：

10.1016/j.jmaa.2008.11.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we offer new results of research presented in the referred papers of J.E. Fornaess and E.L. Stout, E. Ligocka and the authors, and concerning the existence of m-valent locally biholomorphic mappings from product domains of C-n onto n-dimensional complex manifolds. in particular, we confirm an own conjecture about the estimation of the valentness in of locally biholomorphic mappings from multi-connected domains onto the open unit disc. (C) 2008 Elsevier Inc. All rights reserved,

引用

页码：85 / 87

页数：3

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