Geometric characterizations of freely quasiconformal mappings in real Banach spaces
Abstract
In this paper, we establish a characterization of freely quasiconformal mappings in real Banach spaces. This characterization is in terms of the geometric moduli of rings which was introduced by Tukia and Väisälä in 2021. As an application, we obtain a generalization of geometric characterizations of quasiconformal mappings in \(\mathbb{R}^n\) obtained by Gehring and Väisälä.
Fields of Study & Subjects
Analytic and geometric function theory
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Annales Fennici Mathematici
- Volume
- 51
- Issue
- 1
- Pages
- 145–162
- Publication date
- 27 February 2026
- Language
- EN