On quasiconformal dimension distortion for subsets of the real line

P. Nissinen; I. Prause

doi:10.1007/s10476-024-00060-7

On quasiconformal dimension distortion for subsets of the real line

P. Nissinen, I. Prause

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

Abstract

Optimal quasiconformal dimension distortions bounds for subsetsof the complex plane have been established by Astala. We show that theseestimates can be improved when one considers subsets of the real line of arbitraryHausdorff dimension. We present some explicit numerical bounds.

Original language	English
Pages (from-to)	1111-1129
Number of pages	19
Journal	Analysis Mathematica
Volume	50
Issue number	4
Early online date	29 Oct 2024
DOIs	https://doi.org/10.1007/s10476-024-00060-7 https://doi.org/10.48550/arXiv.2402.01291
Publication status	Published - Dec 2024
MoE publication type	A1 Journal article-refereed

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On quasiconformal dimension distortion for subsets of the real line

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