Geometric characterizations of freely quasiconformal mappings in real Banach spaces

Authors

  • Manzi Huang Hunan Normal University, MOE-LCSM, School of Mathematics and Statistics
  • Xiantao Wang Hunan Normal University, MOE-LCSM, School of Mathematics and Statistics
  • Zhiqiang Yang Shandong University, Research Center for Mathematics and Interdisciplinary Sciences, and Hunan Normal University, MOE-LCSM, School of Mathematics and Statistics

DOI:

https://doi.org/10.54330/afm.180267

Keywords:

Geometric modulus, characterization, geometrically quasiconformal mapping, freely quasiconformal mapping, Banach space

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.

 

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Published

2026-02-27

Issue

Vol. 51 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Huang, M., Wang, X., & Yang, Z. (2026). Geometric characterizations of freely quasiconformal mappings in real Banach spaces. Annales Fennici Mathematici, 51(1), 145–162. https://doi.org/10.54330/afm.180267