%0 Journal Article
%A Cobos Díaz, Fernando
%A Edmunds, David E.
%A Kühn, Tomas
%T Nuclear embeddings of Besov spaces into Zygmund spaces
%D 2019
%@ 1069-5869
%U https://hdl.handle.net/20.500.14352/13826
%X Let d ∈ N and let Ω be a bounded Lipschitz domain in Rd. We prove that the embedding Id : Bd (Ω) −→ L (log L) (Ω) is nuclear if a < −1 and 1 ≤ p, q ≤ ∞,p,q  ≤∞,         while if −1 < a < 0, 2 < p < ∞ and p ≤ q ≤ ∞ while if −1 < a < 0, 2 < p < ∞ and p ≤ q ≤ ∞ the embedding Id fails to be nuclear. Furthermore, if a = −1, the embedding Id : Bd∞,∞(Ω) −→ L∞ (log L)−1 (Ω) is not nuclear.
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