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Listar por autor "Campo Acosta, Ricardo del"
Mostrando ítems 1-20 de 22
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Artículo
A note on real interpolation of L-P-spaces of vector measures on delta-rings
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Elsevier, 2014)We describe the real interpolation spaces obtained when we apply the real K-method of Lions–Peetre to Banach lattices of ...
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Absolute continuity theorems for abstract Riemann integration
Amo, Enrique de; Campo Acosta, Ricardo del; Díaz Carrillo, M. (Springer, 2007)Absolute continuity for functionals is studied in the context of proper and abstract Riemann integration examining the ...
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Abstract Riemann integrability and measurability
Amo, Enrique de; Campo Acosta, Ricardo del; Díaz Carrillo, M. (Springer, 2009)We prove that the spectral sets of any positive abstract Riemann integrable function are measurable but (at most) a ...
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Compactness in quasi-Banach function spaces with applications to L1 of the semivariation of a vector measure
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Springer, 2020)We characterize the relatively compact subsets of the order continuous part Ea of a quasi Banach function space E showing ...
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Complex interpolation of L-p-spaces of vector measures on delta-rings
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Elsevier, 2013)We apply the Calderón interpolation methods to Banach lattices of p-integrable and weakly p-integrable functions with ...
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Complex Interpolation of Operators and Optimal Domains
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Galdames, Orlando; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Springer, 2014)Let X0 and X1 be two order continuous Banach function spaces on a finite measure space, (E0, E1) a Banach space ...
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Finitely additive integration and local integration with respect to upper integrals
Amo, Enrique de; Campo Acosta, Ricardo del; Díaz Carrillo, M. (Springer, 2006)We study the integration theory for general integral metrics when restricted to upper integrals q, finding improvements ...
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Interpolation of Vector Measures
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José; Sánchez Pérez, Enrique A. (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 ...
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Interpolation with a parameter function and integrable function spaces with respect to vector measures
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Manzano, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (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.
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Artículo
Interpolation with a parameter function of Lp-spaces with respect to a vector measure on a δ-ring
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Manzano, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (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 ...
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Artículo
Lorentz spaces of vector measures and real interpolation of operators
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José; Sánchez Pérez, Enrique A. (Taylor and Francis, 2020)Using the representation of the real interpolation of spaces of p-integrable functions with respect to a vector measure, ...
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Lp-spaces and ideal properties of integration operators for Fréchet-space-valued measures
Campo Acosta, Ricardo del; Okada, S.; Ricker, W. J. (Theta Foundation, 2012)An investigation is made of LP-spaces generated by Fréchet-space -valued measures, together with various ideal properties ...
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Multiplication operators on spaces of integrable functions with respect to a vector measure
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Ferrando, I.; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Elsevier, 2008)We study continuity and other properties related to some kind of compactness of multiplication operators between different spaces of pth power integrable scalar functions with respect to a vector measure.
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Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Springer, 2021)The Orlicz spaces XΦ associated to a quasi-Banach function space X are defined by replacing the role of the space L1 by X ...
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Positive Representations of L1 of a Vector Measure
Campo Acosta, Ricardo del; Sánchez Pérez, Enrique A. (Springer, 2007)We characterize the vector measures n on a Banach lattice such that the map |·|dn provides a quasi-norm which is ...
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Reflexivity of function spaces associated to a σ-finite vector measure
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Elsevier, 2016)For a vector measure ν defined on a δ-ring with values in a Banach space and 1 < p < ∞, we characterize the reflexivity ...
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Sequential density techniques for an approximate Radon-Nikodym theorem
Campo Acosta, Ricardo del; Amo, Enrique de (Springer, 2007)We deal with the problem of approximate representation of linear functionals and show how the sequential density techniques may be used for solution.
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The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure
Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Elsevier, 2019)For a vector measure m, with values in a Banach space, we analyze the localization of uniformly integrable subsets of ...
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The Fatou Completion of a Fréchet Function Space and Applications
Campo Acosta, Ricardo del; Ricker, W. J. (Cambridge University Press, 2010)Given a metrizable locally convex-solid Riesz space of measurable functions we provide a procedure to construct a minimal ...
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The space of scalarly integrable functions for a Fréchet-space-valued measure
Campo Acosta, Ricardo del; Ricker, W. J. (Elsevier, 2009)The space L1 w (ν) of all scalarly integrable functions with respect to a Fréchet-space-valued vector measure ν is shown ...