On quasiconformal dimension distortion for subsets of the real line

2024/02/02 by Nissinen, Petteri, Prause, István
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.01291

Abstract

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 considers subsets of the real line of arbitrary Hausdorff dimension. We present some explicit numerical bounds.

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