Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale
We study quasiconformal mappings in planar domains Ω and their regularity properties described in terms of Sobolev, Bessel potential or TriebelLizorkin scales. This leads to optimal conditions, in terms of the geometry of the boundary BΩ and of the smoothness of the Beltrami coefficient, that guaran...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:293845 |
| Acceso en línea: | https://ddd.uab.cat/record/293845 https://dx.doi.org/urn:doi:10.1016/j.matpur.2024.04.008 |
| Access Level: | acceso abierto |
| Palabra clave: | Quasiconformal Sobolev Triebel-Lizorkin Beltrami |
| Sumario: | We study quasiconformal mappings in planar domains Ω and their regularity properties described in terms of Sobolev, Bessel potential or TriebelLizorkin scales. This leads to optimal conditions, in terms of the geometry of the boundary BΩ and of the smoothness of the Beltrami coefficient, that guarantee the global regularity of the mappings in these classes. In the TriebelLizorkin class with smoothness below 1, the same conditions give global regularity in Ω for the principal solutions with Beltrami coefficient supported in Ω. |
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