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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-3,
author = {Piotr Liczberski and Victor V. Starkov},
title = {On locally biholomorphic mappings from multi-connected onto simply connected domains},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {135-143},
zbl = {1087.30017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-3}
}
Piotr Liczberski; Victor V. Starkov. On locally biholomorphic mappings from multi-connected onto simply connected domains. Annales Polonici Mathematici, Tome 85 (2005) pp. 135-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-3/