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Artículo
Maximal functions and the control of weighted inequalities for the fractional integral operator
(Indiana University, 2005)
We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operator Mα controls these inequalities when the weight is radially decreasing. However, we exhibit ...
Artículo
U-operators
(Cambridge University Press, 2005-02)
Inspired by a statement of W. Luh asserting the existence of entire functions having together with all their derivatives and antiderivatives some kind of additive universality or multiplicative universality on certain ...
Artículo
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method
(Kent State University, 2009)
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = 0, where σ and τ are polynomials of degrees not higher than 2 and 1, respectively, and λ is a constant. ...
Artículo
Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
(American Mathematical Society, 2001)
Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically nonexpansive mapping. Under the usual assumptions on X which assure the existence of fixed point for T, we prove that the set ...
Artículo
Norms of hypercyclic sequences
(The European Digital Mathematics Library, 2004)
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) of operators with a hereditary hypercyclic subsequence (Tnk) such that (Tn) itself does not satisfy the so-called ...
Artículo
A test for the Riemann hypotesis
(Adam Mickiewicz University, 2008-09)
We prove that the Riemann Hypothesis holds if and only if I = Z +∞ 1 ˘ Π(x) − Li(x) ¯2 x −2 dx < +∞ with I = J, where J is some definite, computable real number (1.266 < J < 1.273). This provides us with a numerical test ...
Tesis Doctoral
Nuevas contribuciones sobre L1 de una medida vectorial
(2004-12-15)
El origen de la integración de funciones escalares respecto de una medida vectorial se remonta al año 1955, cuando Bartle, Dunford y Schwartz extienden al caso vectorial el teorema de representación de Riesz. La versión ...
Artículo
Universal matrix transforms of holomorphic functions
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...
Artículo
On the "Favard theorem" and its extensions
(Elsevier, 2001-01-15)
In this paper we present a survey on the "Favard theorem" and its extensions.
Artículo