T. Signes

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20152026

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math.AP2022

Pointwise convergence of fractional powers of Hermite type operators

Guillermo Flores, Gustavo Garrigos, Teresa Signes +1

When $L$ is the Hermite or the Ornstein-Uhlenbeck operator, we find minimal integrability and smoothness conditions on a function $f$ so that the fractional power $L^{σ} f (x_{0})$ is we…

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…

Pointwise convergence of fractional powers of Hermite type operators

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