On locally biholomorphic mappings from multi-connected onto simply connected domains

Piotr Liczberski; Victor V. Starkov

Annales Polonici Mathematici (2005)

  • Volume: 85, Issue: 2, page 135-143
  • ISSN: 0066-2216

Abstract

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We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.

How to cite

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Piotr Liczberski, and Victor V. Starkov. "On locally biholomorphic mappings from multi-connected onto simply connected domains." Annales Polonici Mathematici 85.2 (2005): 135-143. <http://eudml.org/doc/281123>.

@article{PiotrLiczberski2005,
abstract = {We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.},
author = {Piotr Liczberski, Victor V. Starkov},
journal = {Annales Polonici Mathematici},
keywords = {locally biholomorphic mappings; finitely valent mappings; Riemann surfaces},
language = {eng},
number = {2},
pages = {135-143},
title = {On locally biholomorphic mappings from multi-connected onto simply connected domains},
url = {http://eudml.org/doc/281123},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Piotr Liczberski
AU - Victor V. Starkov
TI - On locally biholomorphic mappings from multi-connected onto simply connected domains
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 2
SP - 135
EP - 143
AB - We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.
LA - eng
KW - locally biholomorphic mappings; finitely valent mappings; Riemann surfaces
UR - http://eudml.org/doc/281123
ER -

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