| Authors: | Todorčević, Vesna | Affiliations: | Mathematics | Title: | Harmonic quasiconformal mappings, Ahlfors regular and Bishop-Jones domains | Volume: | 820 | First page: | 205 | Last page: | 213 | Related Publication(s): | Contemporary Mathematics | Conference: | 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21–25, 2023, at Pondicherry University, Puducherry, India | Issue Date: | 2025 | ISBN: | 978-1-4704-7634-2 978-1-4704-7945-9 |
ISSN: | 0271-4132 | DOI: | 10.1090/conm/820/16422 | Abstract: | We give an overview of several conditions characterizing chord-arc and Ahlfors regular curves, Bishop-Jones domains and Bishop-Jones quasicir- cles in terms of Riemann mapping from the unit disk, welding map and, in case of quasicircles, quasiconformal Beltrami differential of an extension. We also consider generalizations of these results to harmonic quasiconformal mappings of unit disk to domain of corresponding type and pose several open problems. |
Keywords: | chord-arc curves and Ahlfors regular curves | Harmonic quasiconformal mappings | Publisher: | American Mathematical Society |
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