L. Doktorski

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.FA2020

Reiteration formulae for the real interpolation method including L or R limiting spaces

Leo R. Ya Doktorski

We consider a real interpolation method defined by means of slowly varying functions. We present some reiteration formulae including so called $L$ or $R$ limiting interpolation spa…

math.FA2017

An application of limiting interpolation to the Fourier series theory

Leo R. Ya. Doktorski

Limiting real interpolation method is applied to describe the behaviour of the Fourier coefficients of functions that belong to spaces which are "very close" to L2.