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arXiv · 2411.16966

On distortion of quasiregular mappings of the upper half plane

Masayo Fujimura·Matti Vuorinen
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Abstract

We prove a sharp result for the distortion of a hyperbolic type metric under $K$-quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequality and the Schwarz lemma for quasiregular mappings.

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Masayo Fujimura, Matti Vuorinen. 2024-11-25. On distortion of quasiregular mappings of the upper half plane. https://arxiv.org/abs/2411.16966

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