Person:
Cobos Díaz, Fernando

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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
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Author: Kühn, Thomas × Subject: 517.98 ×

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Now showing 1 - 4 of 4
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    Lorentz-Schatten classes and pointwise domination of matrices
    (Canadian Mathematical Bulletin, 1999) Cobos Díaz, Fernando; Kühn, Thomas
    We investigate pointwise domination property in operator spaces generated by Lorentz sequence spaces
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    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.
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    On the Optimal Asymptotic Eigenvalue Behavior of Weakly Singular Integral-Operators
    (Proceedings of the American Mathematical Society, 1991) Cobos Díaz, Fernando; Janson, Svante; Kühn, Thomas
    We improve the known results on eigenvalue distributions of weakly singular integral operators having (power) order of the singularity equal to half of the dimension of the underlying domain. Moreover we show that our results are the best possible.
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    Compact embeddings of Brezis-Wainger type
    (Revista Matemática Iberoamericana, 2006) Cobos Díaz, Fernando; Kühn, Thomas; Schonbek, Tomas
    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.