Person:
Cobos Díaz, Fernando

Profile Picture
First Name
Fernando
Last Name
Cobos Díaz
URI
https://hdl.handle.net/20.500.14352/75635
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
Identifiers
UCM identifierScopus Author IDDialnet ID

Filters

2016 - 20184
Reset filters

Settings

Author: Domínguez Bonilla, Óscar × End date: 2018 × Start date: 2016 × Has files: true ×

Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Item
    Approximation and entropy numbers of embeddings between approximation spaces
    (Constructive Approximation, 2018) Cobos Díaz, Fernando; Domínguez Bonilla, Óscar; Kühn, Thomas
  • Thumbnail Image
    Item
    On Besov spaces modelled on Zygmund spaces
    (Journal of Approximation Theory, 2016) Cobos Díaz, Fernando; Domínguez Bonilla, Óscar
    Working on the d-torus, we show that Besov spaces Bps(Lp(logL)a) modelled on Zygmund spaces can be described in terms of classical Besov spaces. Several other properties of spaces Bps(Lp(logL)a) are also established. In particular, in the critical case s=d/p, we characterize the embedding of Bpd/p(Lp(logL)a) into the space of continuous functions.
  • Thumbnail Image
    Item
    On nuclearity of embeddings between Besov spaces
    (Journal of Approximation Theory, 2018) Cobos Díaz, Fernando; Domínguez Bonilla, Óscar; Kühn, Thomas
    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.
  • Thumbnail Image
    Item
    Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups.
    (Journal of Functional Analysis, 2016) Cobos Díaz, Fernando; Domínguez Bonilla, Óscar; Triebel, Hans
    We work with Besov spaces Bp,q0,b defined by means of differences, with zero classical smoothness and logarithmic smoothness with exponent b. We characterize Bp,q0,b by means of Fourier-analytical decompositions, wavelets and semi-groups. We also compare those results with the well-known characterizations for classical Besov spaces Bp,qs.