Compact embeddings of Brezis-Wainger type
Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49883 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49883 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.98 Entropy Numbers Banach-Spaces Operators Compact embeddings Besov spaces Lipschitz spaces Mathematics Análisis matemático 1202 Análisis y Análisis Funcional |
| Resumo: | Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ∼ k−1/p if α > max (1 + 2/p −1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske. |
|---|