Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces
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....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-04-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2025-0131 |
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| _version_ | 1850199702649176064 |
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| author | Liu Hong-Jun Yan Sha-Sha Xia Ling Yu Zhi-Fa |
| author_facet | Liu Hong-Jun Yan Sha-Sha Xia Ling Yu Zhi-Fa |
| author_sort | Liu Hong-Jun |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ef4155048a484ee8aa897680a14f1e8f |
| institution | OA Journals |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-ef4155048a484ee8aa897680a14f1e8f2025-08-20T02:12:33ZengDe GruyterOpen Mathematics2391-54552025-04-01231507410.1515/math-2025-0131Freely quasiconformal and locally weakly quasisymmetric mappings in metric spacesLiu Hong-Jun0Yan Sha-Sha1Xia Ling2Yu Zhi-Fa3School of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, Guizhou, P. R. ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, Guizhou, P. R. ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, Guizhou, P. R. ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, Guizhou, P. R. ChinaIn 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.https://doi.org/10.1515/math-2025-0131free quasiconformalitylocally weak quasisymmetryquasihyperbolic metricring propertyquasiconvex metric space30c6530f4530l10 |
| spellingShingle | Liu Hong-Jun Yan Sha-Sha Xia Ling Yu Zhi-Fa Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces Open Mathematics free quasiconformality locally weak quasisymmetry quasihyperbolic metric ring property quasiconvex metric space 30c65 30f45 30l10 |
| title | Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces |
| title_full | Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces |
| title_fullStr | Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces |
| title_full_unstemmed | Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces |
| title_short | Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces |
| title_sort | freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces |
| topic | free quasiconformality locally weak quasisymmetry quasihyperbolic metric ring property quasiconvex metric space 30c65 30f45 30l10 |
| url | https://doi.org/10.1515/math-2025-0131 |
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