We give some characterizations for certain homeomorphisms between disks in the complex plane, and we prove some Schwarz type theorems for such homeomorphisms. Our results replace the main result of Chen [Studia Math. 157 (2003)] which we show to be false.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-2,
author = {Shulong Li and Lixin Liu},
title = {Geometric characterization for homeomorphisms between disks},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {13-25},
zbl = {1165.30007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-2}
}
Shulong Li; Lixin Liu. Geometric characterization for homeomorphisms between disks. Studia Mathematica, Tome 187 (2008) pp. 13-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-2/