RT Journal Article T1 On nuclearity of embeddings between Besov spaces A1 Cobos Díaz, Fernando A1 Domínguez Bonilla, Óscar A1 Kühn, Thomas AB Let Bp,qs,α(Ω) be the Besov space with classical smoothness s and additional logarithmic smoothness of order α on a bounded Lipschitz domain Ω in Rd. For s1, s2 ∈ R, 1 ≤ p1, p2, q1, q2 ≤ ∞ and s1 − s2 = d − d(1/p2 − 1/p1)+, we show a sufficient condition on q1, q2 for nuclearity of embedding Bs1,α1 (superíndices) y p1, q1 (subíndices)(Ω) → Bp2,α2 (superíndice) y s2 q,2 (subíndices) (Ω). We also show that the condition is necessary in a wide range of parameters. YR 2018 FD 2018 LK https://hdl.handle.net/20.500.14352/12108 UL https://hdl.handle.net/20.500.14352/12108 LA eng NO Ministerio de Economía, Comercio y Empresa (España) NO Universidad Complutense de Madrid DS Docta Complutense RD 17 abr 2025