4 papers · 1 filter
Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk
Olli Hirviniemi, Lauri Hitruhin
We consider quasiconformal mappings of the unit disk that have a planar extension which have -integrable distortion. In this paper, we establish a bound for the modulus of conti…
On mappings of finite distortion that are quasiconformal in the unit disk
Olli Hirviniemi, Lauri Hitruhin, István Prause +1
We study quasiconformal mappings of the unit disk that have planar extension with controlled distortion. For these mappings we prove a bound for the modulus of continuity of the in…
Stretching and Rotation of Planar Quasiconformal Mappings on a Line
Olli Hirviniemi, István Prause, Eero Saksman
In this article, we examine stretching and rotation of planar quasiconformal mappings on a line. We show that for almost every point on the line, the set of complex stretching expo…
Localized Regularity of Planar Maps of Finite Distortion
Olli Hirviniemi, István Prause, Eero Saksman
In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the c…