NameCampo Acosta, Ricardo del
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
E-mailRequest
         
  • No. publications

    22

  • No. visits

    550

  • No. downloads

    694


 

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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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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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When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?

Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José; Sánchez Pérez, Enrique A. (Elsevier, 2020)
We study the equivalence between the Orlicz and Luxemburg (quasi-) norms in the context of the generalized Orlicz spaces ...
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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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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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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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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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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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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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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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Weighted Hardy inequalities, real interpolation methods and vector measures

Campo Acosta, Ricardo del; Fernández Carrión, Antonio; Manzano, Antonio; Mayoral Masa, Fernando; Naranjo Naranjo, Francisco José (Springer, 2014)
We analyze the relationship of the Ariño–Muckenhoupt weights with the K - spaces obtained when the real interpolation ...
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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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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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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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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 ...
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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 countable ...
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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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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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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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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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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 ...