On distortion of quasiregular mappings of the upper half plane
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.
Authors
- Masayo Fujimura (ORCID: https://orcid.org/0000-0002-5837-8167)
- Матти Вуоринен (ORCID: https://orcid.org/0000-0002-1734-8228)
Institutions
- University of Turku (FI)
- National Defense Academy of Japan (JP)
Publication Details
- Journal
- Complex Variables and Elliptic Equations
- Published
- 2025-05-29
- DOI
- https://doi.org/10.1080/17476933.2025.2500350
- Citations
- 1
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09