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https://research.matf.bg.ac.rs/handle/123456789/1564| Title: | Quasiconformal and HQC mappings between Lyapunov Jordan domains | Authors: | Božin, Vladimir Mateljević, M. |
Affiliations: | Real and Complex Analysis | Issue Date: | 2020 | Journal: | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze | Abstract: | Let h be a quasiconformal (qc) mapping of the unit disk U onto a Lyapunov domain. We show that h maps subdomains of Lyapunov type of U, which touch the boundary of U, onto domains of similar type. In particular if h is a harmonic qc (hqc) mapping of U onto a Lyapunov domain, using it, we prove that h is co-Lipschitz (co-Lip) on U. This settles an open intriguing problem. © 2020 Scuola Normale Superiore. All rights reserved. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1564 | DOI: | 10.2422/2036-2145.201708_013 |
| Appears in Collections: | Research outputs |
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