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arXiv · 2511.22591

Hilbert metric and H\"older continuity of quasiregular mappings

Şahsene Altınkaya·Masayo Fujimura·Marcelina Mocanu·Matti Vuorinen
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Abstract

We prove several formulas for the Hilbert metric in the unit disk and apply these results to study quasiregular mappings of the unit disk $\mathbb{B}^2$ onto a bounded convex domain $D$. The main result deals with the H\"older continuity of these mappings with respect to Hilbert metrics of $\mathbb{B}^2$ and $D$. Also several open problems are formulated.

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Şahsene Altınkaya, Masayo Fujimura, Marcelina Mocanu, Matti Vuorinen. 2025-11-27. Hilbert metric and H\"older continuity of quasiregular mappings. https://arxiv.org/abs/2511.22591

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