Work

Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces

Year: 2025

Type: article

Abstract: In this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces. We first prove the equivalence of freely quasiconformal mappings, ring properties, and locally weakly quasisymmetric mappings. Finally, we prove that the composition of two locally weakly quasisymmetric mappings in metric spaces is locally weakly quasisymmetric mapping.

Source: Open Mathematics

DOI: 10.1515/math-2025-0131

Authors: Hong-Jun Liu, Sha-Sha Yan, Ling Xia, Zhi-Fa Yu

Institution: Guizhou Normal University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W4409499047

FWCI:

Cites: 25

Cited by:

Related to: 10