Geometric characterization for homeomorphisms between disks

Shulong Li; Lixin Liu

Studia Mathematica (2008)

  • Volume: 189, Issue: 1, page 13-25
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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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 -

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