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Browsing by Author "Campo Acosta, Ricardo del"
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Article
A note on real interpolation of LPspaces of vector measures on deltarings
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 Kmethod of Lions–Peetre to Banach lattices of ...

Article
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 ...

Article
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 ...

Article
Compactness in quasiBanach 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 ...

Article
Complex interpolation of Lpspaces of vector measures on deltarings
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 pintegrable and weakly pintegrable functions with ...

Article
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 ...

Article
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 ...

Article
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 ...

Article
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 (EleMath, 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.

Article
Interpolation with a parameter function of Lpspaces with respect to a vector measure on a δring
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 σfinite Banachspacevalued measure defined on a δring. We find a wide class of measures ν for which interpolation ...

Article
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 pintegrable functions with respect to a vector measure, ...

Article
Lpspaces and ideal properties of integration operators for Fréchetspacevalued measures
Campo Acosta, Ricardo del; Okada, S.; Ricker, W. J. (Theta Foundation, 2012)An investigation is made of LPspaces generated by Fréchetspace valued measures, together with various ideal properties ...

Article
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.

Article
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 quasiBanach function space X are defined by replacing the role of the space L1 by X ...

Article
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 quasinorm which is ...

Article
Reflexivity of function spaces associated to a σfinite 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 δring with values in a Banach space and 1 < p < ∞, we characterize the reflexivity ...

Article
Sequential density techniques for an approximate RadonNikodym 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.

Article
The de la ValléePoussin 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 ...

Article
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 convexsolid Riesz space of measurable functions we provide a procedure to construct a minimal ...

Article
The space of scalarly integrable functions for a Fréchetspacevalued measure
Campo Acosta, Ricardo del; Ricker, W. J. (Elsevier, 2009)The space L1 w (ν) of all scalarly integrable functions with respect to a Fréchetspacevalued vector measure ν is shown ...