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Autor Jaramillo Aguado, Jesús Ángel |
Documentos disponibles escritos por este autor (63)
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Durand-Cartagena, Estibalitz ; Jaramillo Aguado, Jesús Ángel ; Shanmugalingam, Nageswari | Centre de Recerca Matemàtica | 2009-10We study a geometric characterization of ??Poincaré inequality. We show that a path-connected complete doubling metric measure space supports an ??Poincaré inequality if and only if it is thick quasi-convex. We also prove that these two equivale[...]texto impreso
We first study the reflexivity of the space P(E-m,F) of continuous m-homogeneous polynomials between Banach spaces E and F. Then, in a more general way, we obtain conditions under which the spaces P(E-m,F)(n) and P(E-m",F") are canonically isomo[...]texto impreso
We introduce UDSp-property (resp. UDTq-property) in Banach lattices as the property that every normalized disjoint sequence has a subsequence with an upper p-estimate (resp. lower q-estimate). In the case of rearrangement invariant spaces, the r[...]texto impreso
Castillo, Jesús M.F. ; García, Ricardo ; Jaramillo Aguado, Jesús Ángel | Academia Scientiarum Fennica | 2002We study the extension of bilinear forms from a given subspace of an L1 -space to the whole space. Precisely, an isomorphic embedding j: E ? X is said to be (linearly) 2-exact if bilinear forms on E can be (linear and continuously) extended to X[...]texto impreso
Castillo, Jesús M.F. ; García, R. ; Jaramillo Aguado, Jesús Ángel | American Mathematical Society | 2001We study the extension of bilinear and multilinear forms from a given subspace of a Banach space to the whole space. Precisely, an isomorphic embedding j : E --> X is said to be (linearly) N-exact if N-linear forms on E can be (linear and conti[...]texto impreso
For each quasi-metric space X we consider the convex lattice SLip(1)(X) of all semi-Lipschitz functions on X with semi-Lipschitz constant not greater than 1. If X and Y are two complete quasi-metric spaces, we prove that every convex lattice iso[...]texto impreso
Durand-Cartagena, Estibalitz ; Jaramillo Aguado, Jesús Ángel ; Shanmugalingam, Nageswari | Universitat Aut?noma de Barcelona | 2016We prove that a locally complete metric space endowed with a doubling measure satisfies an infinity-Poincare inequality if and only if given a null set, every two points can be joined by a quasiconvex curve which "almost avoids" that set. As an [...]texto impreso
For a large class of metric spaces with nice local structure, which includes Banach-Finsler manifolds and geodesic spaces of curvature bounded above, we give sufficient conditions for a local homeomorphism to be a covering projection. We first o[...]texto impreso
Garrido, M. Isabel ; Gutú, Olivia ; Jaramillo Aguado, Jesús Ángel | Pergamon-Elsevier Science | 2010In order to obtain global inversion theorems for mappings between length metric spaces, we investigate sufficient conditions for a local homeomorphism to be a covering map in this context. We also provide an estimate of the domain of invertibili[...]texto impreso
We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the notion of Clarke generalized differential in this context and, usin[...]texto impreso
We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f, introduced by Jeyakumar and Luc, and we consider a relate[...]texto impreso
In this paper we study the connections between moduli of asymptotic convexity and smoothness of a Banach space, and the existence of high order differentiable bump functions or equivalent norms on the space. The existence of a high order uniform[...]texto impreso
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We begin this paper with a general study of algebra homomorphisms between algebras of continuous real functions on completely regular topological spaces; we study their automatic continuity and we characterize them as induced by continuous maps;[...]texto impreso
In this paper we study real lattice homomorphisms on a unital vector lattice L subset of C(X), where X is a completely regular space. We stress on topological properties of its structure spaces and on its representation as point evaluations. The[...]