Mala siembra de Rafael Rubio

Rafael Lorente de No, 1946

Dedicated to the Memory of Jose Luis Rubio De Francia

In this paperwe prove that the /~.,-cube can be (1 + s)-embedded into any 1 -subsyntmetrie C(s>n.dimensional normed space. Marcus and Pisier in [5]iniciated tite study of tite geometry ob finite metric spaces. Bourgain, Milman and Wolbson introduced a new notion of metnc type and developed tite non-linear titeory of Banacit spaces (see [2]and [7]). AII titese themes have been studied more inten...

Issues related to Rubio de Francia’s Littlewood–Paley inequality

Let Sω f = ∫ ω f̂(ξ)e dξ be the Fourier projection operator to an interval ω in the real line. Rubio de Francia’s Littlewood–Paley inequality (Rubio de Francia, 1985) states that for any collection of disjoint intervals Ω, we have ∥∥∥∥ [∑ ω∈Ω |Sω f | 1/2∥∥∥∥ p ‖f‖p, 2 ≤ p < ∞. We survey developments related to this inequality, including the higher dimensional case, and consequences for multiplie...

Proof of a conjecture of José L . Rubio de Francia

Given a compact connected abelian group G, its dual group Γ can be ordered (in a non-canonical way) so that it becomes an ordered group. It is known that, for any such ordering on Γ and p in the range 1 < p < ∞, the characteristic function χI of an interval I in Γ is a p−multiplier with a uniform bound (independent of I) on the corresponding operator SI on Lp(G). In this note it is shown that, ...

Regulaci\'on de especies competitivas bajo modelos impulsivos de pesca-siembra regidos por operadores maximales

INTRODUCCIÓN Las ecuaciones diferenciales impulsivas se han comenzado a usar recientemente con éxito para modelar el comportamiento de la biomasa de poblaciones individuales ante esquemas de captura pulsante masiva y peŕıodos de veda. (ver p. ej [2]) En ciertos ámbitos lacustres en que se permite de forma habitual la pesca deportiva tiene lugar un esquema distinto ya que la pesca se realiza de ...