Información del autor
Autor Cobos, Fernando |
Documentos disponibles escritos por este autor (121)
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We describe a new approach to interpolate by the complex method quasi-Banach couples formed by real-intermediate spaces. End-point cases are also considered, and applications are given to function spaces and to operator spaces.![]()
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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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Compactness results of Cobos and Peetre [3] guarantee that the interpolated operator is compact assuming that all but two restrictions of the operator (located in adjacent vertices) are compact. Comparing these results with others in the literat[...]![]()
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On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators
We show that if the general real method (. , .)(Gamma) preserves the Banach-algebra Structure, then a bilinear interpolation theorem holds for (. , .)(Gamma).![]()
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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[...]![]()
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We show that if the duality between a Banach space A and its anti-dual A* is given by the inner product of a Hilbert space H, then (A, A*)1/2,2 = H = (A,A*)[l,2~, provided A satisfies certain mild conditions. We do not assume A is reflexive. App[...]![]()
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Interpolating compactness properties of operators is a long standing and important problem. In this paper, the authors consider the problem in a very general setting of Aronszajn-Gagliardo functors. In simplest terms they show that if T : A0 ! B[...]![]()
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Bashir, Zia ; Cobos, Fernando ; Karadzhov, Georgi E. | Matematisk Institut, Universitetsparken NY Munkegade | 2014We prove optimal embeddings of Calderon spaces built-up over function spaces defined in R-n with the Lebesgue measure into generalized Holder-Zygmund spaces in the super-critical and critical cases.![]()
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In this note we announce optimal embeddings of Calderon spaces built-up over function spaces defined in R-n with the Lebesgue measure into generalized Holder-Zygmund spaces in the super-critical case.![]()
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We describe the behavior of ideal variations under interpolation methods associated to polygons.![]()
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Bernhardsson, Bo ; Cobos, Fernando ; Kühn, Tomas ; Mondoc, Daniel ; Peetre, Jaak | Estonian Academy of Sciences | 2006So far trilinear forms have mostly been considered in low dimensions, in particular the dimension two (binary) case, and when the ring of scalars K is either the real numbers R or the complex ones C. The main aim in both situations has been to d[...]![]()
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We investigate the behaviour by general J- and K-methods of certain closed operator ideals. In particular, the results apply to weakly compact operators, Rosenthal operators and Banach–Saks operators.