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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.
Shulong Li, and Lixin Liu. "Geometric characterization for homeomorphisms between disks." Studia Mathematica 189.1 (2008): 13-25. <http://eudml.org/doc/285226>.
@article{ShulongLi2008, abstract = {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.}, author = {Shulong Li, Lixin Liu}, journal = {Studia Mathematica}, keywords = {quasiconformal mapping; extremal length; affine mapping}, language = {eng}, number = {1}, pages = {13-25}, title = {Geometric characterization for homeomorphisms between disks}, url = {http://eudml.org/doc/285226}, volume = {189}, year = {2008}, }
TY - JOUR AU - Shulong Li AU - Lixin Liu TI - Geometric characterization for homeomorphisms between disks JO - Studia Mathematica PY - 2008 VL - 189 IS - 1 SP - 13 EP - 25 AB - 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. LA - eng KW - quasiconformal mapping; extremal length; affine mapping UR - http://eudml.org/doc/285226 ER -