A1 Refereed original research article in a scientific journal

On distortion of quasiregular mappings of the upper half plane



Authors: Fujimura, Masayo; Vuorinen, Matti

Publisher: TAYLOR & FRANCIS LTD

Publishing place: ABINGDON

Publication year: 2025

Journal: Complex Variables and Elliptic Equations

Journal name in source: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Journal acronym: COMPLEX VAR ELLIPTIC

Number of pages: 11

ISSN: 1747-6933

eISSN: 1747-6941

DOI: https://doi.org/10.1080/17476933.2025.2500350

Web address : https://doi.org/10.1080/17476933.2025.2500350

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/498467328

Preprint address: https://arxiv.org/abs/2411.16966v1


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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Last updated on 2025-16-06 at 10:30