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math.CV2022
Finite distortion curves: Continuity, Differentiability and Lusin's (N) property
Lauri Hitruhin, Athanasios Tsantaris
We define finite distortion -curves and we show that for some forms and when the distortion function is sufficiently exponentially integrable the map is continuous, differen…
math.CV2022
Dimension compression and expansion under homeomorphisms with exponentially integrable distortion
Lauri Hitruhin
We improve both dimension compression and expansion bounds for homeomorphisms with -exponentially integrable distortion. To the first direction we also introduce estimates for t…
math.CV2021
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…