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math.CV2024
On quasiconformal dimension distortion for subsets of the real line
Petteri Nissinen, István Prause
Optimal quasiconformal dimension distortions bounds for subsets of the complex plane have been established by Astala. We show that these estimates can be improved when one consider…
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…