Carleson's ε2 ε ² Conjecture in Higher Dimensions and Faber-Krahn Inequalities
In this paper we survey the proof of Carleson's ε 2 conjecture in the plane and its extension to higher dimensions. We also describe its connections with rectifiability and the socalled Faber-Krahn inequalities for the first eigenvalue of the Laplacian.
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:324102 |
| Acceso en línea: | https://ddd.uab.cat/record/324102 https://dx.doi.org/urn:doi:10.1007/978-3-031-80453-3_14 |
| Access Level: | acceso embargado |
| Palabra clave: | Carleson's ε 2 conjecture |
| Sumario: | In this paper we survey the proof of Carleson's ε 2 conjecture in the plane and its extension to higher dimensions. We also describe its connections with rectifiability and the socalled Faber-Krahn inequalities for the first eigenvalue of the Laplacian. |
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