Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces
We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/117970 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/117970 |
| Access Level: | acceso abierto |
| Palabra clave: | Extension domains Two-sided points Sobolev space Hausdorff dimension Análisis funcional y teoría de operadores 1202 Análisis y Análisis Funcional |
| Sumario: | We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type. |
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