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/