Geometric characterizations of freely quasiconformal mappings in real Banach spaces

Kirjoittajat

  • 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

Avainsanat:

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

Abstrakti

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.

 

Tiedostolataukset

Julkaistu

2026-02-27

Numero

Vol 51 Nro 1 (2026)

Osasto

Articles

Lisenssi

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.

Viittaaminen

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