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Autor Domínguez, Oscar |
Documentos disponibles escritos por este autor (11)
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With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions. Then we apply the reiteration formula and limiting interpolation to investigate several problems on Besov spaces, including emb[...]texto impreso
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 als[...]texto impreso
We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.texto impreso
We work with spaces (A0;A1)?;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)?;q;A when0texto impreso
This paper deals with Besov spaces of logarithmic smoothness B-p,T(0,b) formed by periodic functions. We study embeddings of B-p,T(0,b) into Lorentz-Zygmund spaces L-p,L-q(log L)(beta). Our techniques rely on the approximation structure of B-p,T[...]texto impreso
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 critic[...]texto impreso
We compare Besov spaces B-p,q(0,b) with zero classical smoothness and logarithmic smoothness b defined by using the Fourier transform with the corresponding spaces:B-p,q(0,b) defined by means of the modulus of smoothness. In particular, we show [...]texto impreso
Cobos, Fernando ; Domínguez, Oscar ; Kühn, Thomas | 2018Let Bp,qs,?(?) be the Besov space with classical smoothness s and additional logarithmic smoothness of order ? on a bounded Lipschitz domain ? in Rd. For s1, s2 ? R, 1 ? p1, p2, q1, q2 ? ? and s1 ? s2 = d ? d(1/p2 ? 1/p1)+, we show a su?cient co[...]texto impreso
Using limiting interpolation techniques we study the elationship between Besov spaces B0,?1/q p,q with zero classical smoothness and logarithmic smoothness ?1/q defined by means of differences with similar spaces 0,b,d p,q defined by means of th[...]texto impreso
We prove sharp embeddings of Besov spaces Bp,q s,b(Rn) with the classical smoothness s and a logarithmic smoothness b into small Lebesgue spaces and Lorentz–Zygmund spaces in the sub-critical case s = n max{1/p ? 1,0}.texto impreso
In this paper we obtain some limit cases of inequalities of Ul'yanov-type for modulus of smoothness between Lorentz-Zygmund spaces on Tn . Corresponding embedding theorems for the Besov spaces are investigated.