Compact embeddings of Brézis-Wainger type

Fernando Cobos, Thomas Kühn, Tomas Schonbek
2006 Revista matemática iberoamericana  
Let Ω be a bounded domain in R n and denote by id Ω the restriction operator from the Besov space B 1+n/p pq (R n ) 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 e k (id Ω ) ∼ k −
doi:10.4171/rmi/457 fatcat:oerfvh5befhppkyr25asdj26xu