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1
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Embeddings of Besov spaces of logarithmic smoothness

100%
Cobos F., Domínguez Ó.
Studia Mathematica
|
2014
|
tom 223
|
nr 3
193-204
EN
This paper deals with Besov spaces of logarithmic smoothness $B_{p,r}^{0,b}$ formed by periodic functions. We study embeddings of $B_{p,r}^{0,b}$ into Lorentz-Zygmund spaces $L_{p,q}(log L)_{β}$. Our techniques rely on the approximation structure of $B_{p,r}^{0,b}$, Nikol'skiĭ type inequalities, extrapolation properties of $L_{p,q}(log L)_{β}$ and interpolation.
2
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Reiteration and a Wolff theorem for interpolation methods defined by means of polygons

100%
Cobos F., Fernandez-Martinez P.
Studia Mathematica
|
1992
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tom 102
|
nr 3
239-256
EN
We prove a reiteration theorem for interpolationmethods defined by means of polygons, and a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish a Wolff theorem for Fernandez' spaces, which settles a problem left over in [5].
3
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Factoring weakly compact homomorphisms, interpolation of Banach algebras and multilinear interpolation

100%
Cobos F., Fernández-Cabrera L.
Banach Center Publications
|
2008
|
tom 79
|
nr 1
57-69
EN
We review several results on interpolation of Banach algebras and factorization of weakly compact homomorphisms. We also establish a new result on interpolation of multilinear operators.
4
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Bilinear operators and limiting real methods

100%
Cobos F., Segurado A.
Banach Center Publications
|
2014
|
tom 102
|
nr 1
57-70
EN
We investigate the behaviour of bilinear operators under limiting real methods. As an application, we show an interpolation formula for spaces of linear operators. Some results on norm estimates for bounded linear operators are also established.
5
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Limiting real interpolation methods for arbitrary Banach couples

100%
Cobos F., Segurado A.
Studia Mathematica
|
2012
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tom 213
|
nr 3
243-273
EN
We study limiting K- and J-methods for arbitrary Banach couples. They are related by duality and they extend the methods already known in the ordered case. We investigate the behaviour of compact operators and we also discuss the representation of the methods by means of the corresponding dual functional. Finally, some examples of limiting function spaces are given.
6
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Compact operators between K- and J-spaces

81%
Cobos F., Fernández-Cabrera L., Martínez A.
Studia Mathematica
|
2005
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tom 166
|
nr 3
199-220
EN
The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.
7
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Compact operators and approximation spaces

81%
Cobos F., Domínguez O., Martínez A.
Colloquium Mathematicum
|
2014
|
tom 136
|
nr 1
1-11
EN
We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.
8
Content available remote

Extreme points of the complex binary trilinear ball

81%
Cobos F., Kühn T., Peetre J.
Studia Mathematica
|
2000
|
tom 138
|
nr 1
81-92
EN
We characterize all the extreme points of the unit ball in the space of trilinear forms on the Hilbert space $ℂ^2$. This answers a question posed by R. Grząślewicz and K. John [7], who solved the corresponding problem for the real Hilbert space $ℝ^2$. As an application we determine the best constant in the inequality between the Hilbert-Schmidt norm and the norm of trilinear forms.
9
Content available remote

Interpolation of the measure of non-compactness by the real method

81%
Cobos F., Fernández-Martínez P., Martínez A.
Studia Mathematica
|
1999
|
tom 135
|
nr 1
25-38
EN
We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.
10
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On the dependence of parameters in the equivalence theorem for the real method

81%
Cobos F., Fernández-Cabrera L. M., Karadzhov G. E., Kühn T.
Commentationes Mathematicae
|
2015
|
tom 55
|
nr 2
EN
We determine the exact dependence on \(\theta,q,p\) of the constants in the equivalence theorem for the real interpolation method \((A_0,A_1)_{\theta,q}\) with pairs of \(p\)-normed spaces.
11
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Interpolation of compact operators by Goulaouic procedure

50%
Cobos F.
Studia Mathematica
|
1990
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tom 97
|
nr 1
65-69
12
Content available remote

A multidimensional Wolff theorem

41%
Cobos F., Peetre J.
Studia Mathematica
|
1989
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tom 94
|
nr 3
273-290
13
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On a theorem of Ky Fan

40%
Cobos F.
Colloquium Mathematicum
|
1988
|
tom 55
|
nr 2
249-251
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