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CrossRef Open Access 2025

Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces

Hong-Jun Liu Sha-Sha Yan Ling Xia Zhi-Fa Yu
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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.

Penulis (4)

H

Hong-Jun Liu

S

Sha-Sha Yan

L

Ling Xia

Z

Zhi-Fa Yu

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Liu, H., Yan, S., Xia, L., Yu, Z. (2025). Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces. https://doi.org/10.1515/math-2025-0131

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Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
CrossRef
DOI
10.1515/math-2025-0131
Akses
Open Access ✓