RT Journal Article
T1 Compact embeddings of Brezis-Wainger type
A1 Cobos Díaz, Fernando
A1 Kühn, Thomas
A1 Schonbek, Tomas
AB 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.
PB Universidad Autónoma Madrid
SN 0213-2230
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/49883
UL https://hdl.handle.net/20.500.14352/49883
LA eng
NO Madrid Ciencia y Tecnología
NO Mathematisches Forschungsinstitut Oberwolfach
DS Docta Complutense
RD 17 jul 2024