Hausdorff dimensions of quasilines and differentiability of quasisymmetric homeomorphisms

Citation
Huo, Sheng Jin et Wu, Sheng Jian, Hausdorff dimensions of quasilines and differentiability of quasisymmetric homeomorphisms, Acta mathematica Sinica. English series (Print) , 32(4), 2016, pp. 499-506
ISSN journal
14398516
Volume
32
Issue
4
Year of publication
2016
Pages
499 - 506
Database
ACNP
SICI code
Abstract
In this paper, we try to describe the relationship between the differentiability of a quasisymmetric homeomorphism and the local Hausdorff dimension of the quasiline at a point.