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Artículo
Strong Factorizations between Couples of Operators on Banach Function Spaces
(Heldermann Verlag, 2013)
Let T : X1 → Y1 and S : X2 → Y2 be two continuous linear operators between Banach function spaces related to a finite measure space. Under some lattice requirements on the spaces involved, we give characterizations by ...
Artículo
Complex Interpolation of Operators and Optimal Domains
(Springer, 2014)
Let X0 and X1 be two order continuous Banach function spaces on a finite measure space, (E0, E1) a Banach space interpolation pair, and T : X0 + X1 → E0 + E1 an admissible operator between the pairs (X0, X1) and (E0, ...
Artículo
Factorizing operators on Banach function spaces through spaces of multiplication operators
(Elsevier, 2010)
In order to extend the theory of optimal domains for continuous operators on a Banach function space X(μ) over a finite measure μ, we consider operators T satisfying other type of inequalities than the one given by the ...
Artículo
Interpolation of Vector Measures
(Springer, 2011)
Let (Ω, Σ) be a measurable space and m 0: Σ → X 0 and m 1: Σ → X 1 be positive vector measures with values in the Banach Köthe function spaces X 0 and X 1. If 0 < α < 1, we define a new vector measure [m 0, m 1] α with ...
Artículo
A note on real interpolation of L-P-spaces of vector measures on delta-rings
(Elsevier, 2014)
We describe the real interpolation spaces obtained when we apply the real K-method of Lions–Peetre to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined ...
Artículo
Weighted Hardy inequalities, real interpolation methods and vector measures
(Springer, 2014)
We analyze the relationship of the Ariño–Muckenhoupt weights with the K - spaces obtained when the real interpolation method defined by a parameter function is applied to the pairs (L 1 , L∞) and (L 1,∞, L∞) of function ...
Artículo
The Fatou Completion of a Fréchet Function Space and Applications
(Cambridge University Press, 2010)
Given a metrizable locally convex-solid Riesz space of measurable functions we provide a procedure to construct a minimal Fréchet (function) lattice containing it, called its Fatou completion. As an application, we obtain ...
Artículo
Complex interpolation of L-p-spaces of vector measures on delta-rings
(Elsevier, 2013)
We apply the Calderón interpolation methods to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined on a δ-ring. In general, the results we obtain are ...
Artículo
Interpolation with a parameter function and integrable function spaces with respect to vector measures
(Ele-Math, 2015)
We establish interpolation formulae for different compatible couples formed by spaces of scalar integrable functions with respect to a vector measure in connection with a parameter function.
Artículo
Interpolation with a parameter function of Lp-spaces with respect to a vector measure on a δ-ring
(Tusi Mathematical Research Group, 2016)
Let ν be a σ-finite Banach-space-valued measure defined on a δ-ring. We find a wide class of measures ν for which interpolation with a parameter function of couples of Banach lattices of p-integrable and weakly p-integrable ...