On distortion of quasiregular mappings of the upper half plane



: Fujimura, Masayo; Vuorinen, Matti

Publisher: TAYLOR & FRANCIS LTD

: ABINGDON

: 2025

: Complex Variables and Elliptic Equations

: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

: COMPLEX VAR ELLIPTIC

: 11

: 1747-6933

: 1747-6941

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

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

: https://research.utu.fi/converis/portal/detail/Publication/498467328

: https://arxiv.org/abs/2411.16966v1


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.

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