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A lower bound for the equilateral number of normed spaces
(American Mathematical Society, 2008)
We show that if the Banach-Mazur distance between an n-dimensional normed space X and ℓ n∞ is at most 3/2, then there exist n + 1 equidistant points in X. By a well-known result of Alon and Milman, this implies that an ...
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Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain
(Springer, 2024-01-28)
In this paper, we study the asymptotic behavior of the stationary 3D magneto-micropolar fluid flow through a thin domain, whose thickness is given by a parameter . Assuming that the magnetic Reynolds number is written ...
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Holomorphic operators generating dense images
(Springer, 2008-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
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The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings
(Elsevier, 2006-08-15)
The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence ...
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Limit relations between q-Krall type orthogonal polynomials
(Elsevier, 2006)
In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a q-classical linear functional via the addition of one or two mass points. The limit relations ...
Artículo
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Characterization of dual mixed volumes via polymeasures
(Elsevier, 2015-06-15)
We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated to it. To do this, we use tools from the theory of multilinear operators on spaces of continuos functions. ...
Artículo
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Simultaneously maximal radial cluster sets
(Elsevier, 2005-07)
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and multiplication and composition operators– acting on the space H(D) of holomorphic functions in the unit ...
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Sharp weighted bounds for fractional integral operators
(Elsevier, 2010-09-01)
The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral ...
Artículo
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Concentration of the distance in finite dimensional normed spaces
(University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics, 1998-12)
We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is more than √2(1 − ε). As a consecuence, we obtain a result proved by Bourgain, using QS-descomposition, ...
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Estimates with A∞ weights for various singular integral operators
(Zanichelli, 1994)
Si studia la limitazione di certe classi di integrale singolari sullo spazio Lp(w), w € A∞.