Calabuig Rodriguez, Jose Manuel; Fernandez Unzueta, M.; Galaz Fontes, F.; Sánchez Pérez, Enrique Alfonso(Springer, 2014-09)
We consider the problem of extending or factorizing a bounded bilinear map defined on a couple of order continuous Banach function spaces to its optimal domain, i.e. the biggest couple of Banach function spaces to which ...
Arnau-Notari, Andres Roger; Calabuig, J. M.; Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2023-04)
[EN] We present a new class of Lipschitz operators on Euclidean lattices that we call lattice Lipschitz maps, and we prove that the associated McShane and Whitney formulas provide the same extension result that holds for ...
González Cortés, Álvaro(Universitat Politècnica de València, 2023-09-21)
[ES] Los teoremas clásicos de extensión de funciones reales de Lipschitz, debidos a McShane y Whitney, han encontrado numerosas aplicaciones en muchos campos, como la economía, el análisis matemático y, recientemente, en ...
Calabuig, J. M.; Rodríguez, José; Sánchez Pérez, Enrique Alfonso(Cambridge University Press, 2017-12)
[EN] We analyze domination properties and factorization of operators in Banach spaces through subspaces of L1-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we ...
Calabuig Rodriguez, Jose Manuel; Galaz-Fontes, F.; Navarrete, E. M.; Sánchez Pérez, Enrique Alfonso(Springer Verlag (Germany), 2013-04)
Let ν be a countably additive vector measure defined on the Borel subsets of a compact Hausdorff abelian group G. In this paper we define and study a vector valued Fourier transform and a vector valued convolution for ...
Ferrer Sapena, Antonia; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso; Vidal-Cabo, Christian(Universitat de Barcelona, 2020-12)
[ES] El objetivo de la investigación es presentar un procedimiento que permita conocer el desarrollo económico y social de una entidad local a partir de iniciativas de gobierno abierto y apertura de la información.
Se ...
[EN] Let m be a Banach space valued measure. We study some domination
properties of the integration operator that are equivalent to the existence
of Banach ideals of L1(m) that are interpolation spaces. These ...
Calabuig, J. M.; García-Raffi, L. M.; García-Valiente, A.; Sánchez Pérez, Enrique Alfonso(Frontiers Media S.A., 2021-10-25)
[EN] Countries are recording health information on the global spread of COVID-19 using different methods, sometimes changing the rules after a few days. All of them are publishing the number of new individuals infected, ...
Diago Gonzalvo, Sara(Universitat Politècnica de València, 2017-10-19)
[ES] La contratación pública en España representa alrededor de un 20% del
Producto Interior Bruto del país. Las grandes cantidades de dinero que se mueven en
este ámbito y la creciente preocupación social por conocer en ...
Calabuig, J. M.; Ferrando Palomares, Irene; Gallart-Palau, Cesar; García-Raffi, L. M.; Sierra Galdón, Lorena; Hurtado Soler, Desamparados(Graó, 2015-07)
[ES] El objetivo de este trabajo es mostrar cómo la modelización se puede integrar a
todos los niveles del sistema educativo, desde primaria hasta la educación superior.
A partir de las experiencias descritas, se puede ...
Calabuig, J. M.; Fernández-Unzueta, M.; Galaz-Fontes, F.; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2021-01)
[EN] Using some representation results for Kothe-Bochner spaces of vector valued functions by means of vector measures, we analyze the maximal extension for some classes of linear operators acting in these spaces. A ...
Arnau-Notari, Andres Roger; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(MDPI AG, 2023-04-07)
[EN] This work is inspired by some recent developments on the extension of Lipschitz real
functions based on the minimization of the maximum value of the slopes of a reference set for
this function. We propose a new method ...
Calabuig, J. M.; Jiménez-Fernández, E.; Sánchez Pérez, Enrique Alfonso; Manzanares, S.(MDPI AG, 2021-12)
[EN] One of the main challenges posed by the healthcare crisis generated by COVID-19 is to avoid hospital collapse. The occupation of hospital beds by patients diagnosed by COVID-19 implies the diversion or suspension of ...
Let X be a Banach space and E an order continuous Banach function space over a finite measure mu. We prove that an operator T in the Kothe-Bochner space E(X) is a multiplication operator (by a function in L(infinity)(mu)) ...
[EN] Let m be a vector measure taking values in a Banach space X. We prove that if the integration operator Im : L1(m) -> X, is completely continuous and X is Asplund, then m has finite variation and L1(|m|) = L1(m).
Calabuig, J. M.; Rodríguez, J.; Rueda, P.; Sánchez Pérez, Enrique Alfonso(Elsevier, 2018-08)
[EN] Let (Omega, Sigma, mu) be a complete probability space, X a Banach space and 1 <= p < infinity. In this paper we discuss several aspects of p-Dunford in-tegrable functions f : Omega->X. Special attention is paid to ...
Calabuig Rodriguez, Jose Manuel; Delgado Garrido, Olvido; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Universitat de Barcelona, 2014-01)
We study some Banach lattice properties of the space L-w(1)(v) of weakly integrable functions with respect to a vector measure v defined on a delta-ring. Namely, we analyze order continuity, order density and Fatou type ...
We investigate natural sufficient conditions for a space L p(m) of pintegrable functions with respect to a positive vector measure to be smooth. Under some assumptions on the representation of the dual space of such a ...
Calabuig, J. M.; Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Elsevier, 2016)
[EN] Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact ...
Blasco de la Cruz, Oscar; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(Duke University Press, 2015)
[EN] In this paper we provide two representation theorems for two relevant classes of operators from any p-convex order continuous Banach lattice with weak unit into a Banach space: the class of continuous operators and ...