P. Fernández-Martínez

activity

20172022

collaborators

5 papers

math.FA2022

Some examples of equivalent rearrangement-invariant quasi-norms defined via f* or f**

Leo R. Ya. Doktorski, Pedro Fernández-Martínez, Teresa Signes

We consider Lorentz-Karamata spaces, small and grand Lorentz-Karamata spaces, and the so-called $L$ , $R$ , $LL$ , $R L$ , $R L$ , and $\…

math.FA2022

Reiteration Formulae for the Real Interpolation Method Including limiting $L$ or $R$ Spaces

Leo R. Ya. Doktorski, Pedro Fernández-Martínez, Teresa M. Signes

We consider K-interpolation methods involving slowly varying functions. Let $A_{θ, *}^{L}$ and $A_{θ, *}^{R}$ $(0 \leq θ \leq 1)$ be the so call…

math.FA2021

Reiteration Theorem for $R$ and $L$ -spaces with the same parameter

Leo R. Ya. Doktorski, Pedro Fernández-Martínez, Teresa M. Signes

Let $E, F, E_{0}, E_{1}$ be rearrangement invariant spaces; let $a, b, b_{0}, b_{1}$ be slowly varying functions and $0 < θ_{0}, θ_{1} < 1$ . We characterize the interpol…

math.FA2019

On slow decay of Peetre's K-functional

J. M. Almira, P. Fernández-Martínez

We characterize when Peetre's K-functional decays to zero slowly and we use this characterization to demonstrate certain strict inclusions between real interpolation spaces.

math.FA2017

New Young inequalities and applications

Pedro Fernández-Martínez, Eduardo Brandani da Silva

We establish upper bounds for the convolution operator acting between interpolation spaces. This will provide several examples of Young Inequalities in different families of functi…

Some examples of equivalent rearrangement-invariant quasi-norms defined via f* or f**

Reiteration Formulae for the Real Interpolation Method Including limiting L or R Spaces

Reiteration Theorem for R and L-spaces with the same parameter

On slow decay of Peetre's K-functional

New Young inequalities and applications

Reiteration Formulae for the Real Interpolation Method Including limiting $L$ or $R$ Spaces

Reiteration Theorem for $R$ and $L$ -spaces with the same parameter