T. Signes

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20212026

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math.FA2026

Duality for Interpolation Spaces Defined Via Slowly Varying Functions: The Case 0<q<1

P. Fernández-Martínez, M. Grover, T. M. Signes

Given $(A_{0}, A_{1})$ a compatible couple of Banach spaces, we describe the dual of the limiting real interpolation space $(A_{0}, A_{1})_{1, q, b}^{K}$ for $0 < q < 1$ and $b$ a slowly va…

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…

Duality for Interpolation Spaces Defined Via Slowly Varying Functions: The Case 0<q<1

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

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

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