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Capítulo de Libro
Los q-polinomios hipergeométricos
(Universidad de La Rioja, 2001)
It is well known that the q-polynomials of hypergeometric type are the polynomial solutions of a certain second order difference equation in a non-uniform lattice. In this short paper we present a modification of the proof ...
Capítulo de Libro
On the sign of the real part of the Riemann zeta-function
(Springer, 2013)
We consider the distribution of argζ(σ +it) on fixed lines σ > 1/2, and in particular the density d(σ) = lim T→+∞ 1/2T |{t ∈ [−T,+T] : |argζ(σ +it)| > π/2}|, and the closely related density d−(σ) = lim T→+∞ 1/2T |{t ∈ ...
Capítulo de Libro
Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results
(Springer, 2014)
In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical form concerns the estimates of the Hausdorff dimension (dimH) of the sets in the Fα-class: for ...
Capítulo de Libro
A note on the off-diagonal Muckenhoupt-Wheeden conjecture
(World Scientific, 2016)
We obtain the off-diagonal Muckenhoupt-Wheeden conjec-ture for Calder´on-Zygmund operators. Namely, given 1 < p < q < ∞ and a pair of weights (u, v), if the Hardy-Littlewood maximal functionsatisfies the following two weight ...
Capítulo de Libro
El principio de Calderón-Zygmund
(Universidad de La Rioja, 2001)
In this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any ...
Capítulo de Libro
Improving bounds for singular operators via sharp reverse Hölder inequality for A∞
(Springer, 2013)
In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse Hölder Inequality for A∞ weights. For two given operators T and S, we study Lp(w) bounds of CoifmanFefferman ...
Capítulo de Libro
Doblando voy, doblando vengo
(Publicaciones de la Universidad de Alicante, 2024-02-07)
Capítulo de Libro
Existence and approximation of fixed points of right Bregman nonexpansive operators
(Springer, 2013-07-29)
We study the existence and approximation of fixed points of right Bregman nonexpansive operators in reflexive Banach space. We present, in particular, necessary and sufficient conditions for the existence of fixed points ...
Capítulo de Libro
Introduction to hyperconvex spaces
(Springer, 2001)
The notion of hyperconvexity is due to Aronszajn and Panitchpakdi (1956) who proved that a hyperconvex space is a nonexpansive absolute retract, i.e. it is a nonexpansive retract of any metric space in which it is isometrically ...