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math.CV2023
Quasiconformal curves and quasiconformal maps in metric spaces
Lauri Hitruhin, Athanasios Tsantaris
In this paper we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings from some domain t…
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…