Información del autor
Autor Cobos, Fernando |
Documentos disponibles escritos por este autor (121)
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We study interpolation methods associated to polygons and establish estimates for the norms of interpolated operators. Our results explain the geometrical base of estimates in the literature. Applications to interpolation of weighted L(p)-spaces[...]![]()
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Let d ? N and let ? be a bounded Lipschitz domain in Rd. We prove that the embedding Id : Bd (?) ?? L (log L) (?) is nuclear if a![]()
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Cobos, Fernando ; Fernandez-Cabrera, Luz ; Kuehn, Thomas ; Ullrich, Tino | Academic Press-Elsevier Science | 2009We investigate the limit class of interpolation spaces that comes up by the choice ? = 0 in the definition of the real method. These spaces arise naturally interpolating by the J -method associated to the unit square. Their duals coincide with t[...]![]()
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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[...]![]()
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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 [...]![]()
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Let ? = (A? , A?) , B? = (B? , B?) be Banach couples, let E be a Banach space and let T be a bilinear operator such that ||T(a, b)||? ? M[sub]j ||a||?[sub]j ||b||?[sub]j for a ? A? ? A?, b ? B? ? B?, j = 0, 1. If T : A°[sub]j × B°[sub]j ?? E com[...]![]()
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Let H denote a Hilbert space, T a compact operator on H, {sn(T)}1 n=1 the eigenvalues of |T|, and Sp (p > 0) the set of all such T for which {sn(T)}1 n=1 is in `p. If A and B are bounded linear operators on L2, say that B pointwise dominates A [...]![]()
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Cobos, Fernando ; Fernández-Martínez, Pedro ; Martínez, Antón ; Raynaud, Yves | Cambridge Univ Press | 1999We study the relationship between the dual of the #C-space defined by means of a polygon and the /-space generated by the dual N-tuple. The results complete the research started in [4]. Special attention is paid to the case when the N-tuple is f[...]![]()
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In a previous paper, the authors laid the foundations of a theory of Schatten±von Neumann classes 'p (0!p%¢) of trilinear forms in Hilbert space. This paper continues that research. In the n-dimensional case, it is shown that the best constant d[...]![]()
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We show a direct proof for the generalized Hardy’s inequality obtained by the first author Math. Nachr. 126, 281-300, 1986. Our techniques are elementary and work in the limit case which was not covered in [loc. cit.]. Some applications to eigen[...]![]()
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We determine the smallest Schatten class containing all integral operators with kernels in L(p)(L(p',q))symm, where 2![]()
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We study the interpolation properties of Asplund operators by the complex method, as well as by general J - and K-methods.![]()
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Cobos, Fernando ; Fernández-Cabrera, Luz M. ; Martínez, Antón | Gauthier-Villars/Editions Elsevier | 2006We show a necessary and sufficient condition on the lattice ? for the general real method (· , ·)? to preserve the Banach-algebra structure. As an application we derive factorization of weakly compact homomorphisms through interpolation properti[...]![]()
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The authors investigate the behaviour of bilinear operators under interpolation by the methods associated to polygons. These methods, working with N-tuples (N _ 3) of Banach spaces instead of couples, were introduced by F. Cobos and J. Peetre [P[...]