Geometric characterizations of freely quasiconformal mappings in real Banach spaces

Författare

  • 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

Nyckelord:

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.

 

Nedladdningar

Publicerad

2026-02-27

Nummer

Vol 51 Nr 1 (2026)

Sektion

Articles

Licens

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

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