7 papers · 1 filter
Every rearrangement-invariant quasi-Banach function space is an interpolation space between two Lorentz spaces
Leo R. Ya. Doktorski
We extend some results of Kwok-Pun Ho. In particular, it will be shown that every rearrangement-invariant quasi-Banach function space E on a totally sigma-finite measure space with…
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 , , , , , and $\…
Reiteration Formulae for the Real Interpolation Method Including limiting or Spaces
Leo R. Ya. Doktorski, Pedro Fernández-Martínez, Teresa M. Signes
We consider K-interpolation methods involving slowly varying functions. Let and be the so call…
Nikolskii Type Inequalities for Entire Functions of Exponential Type in Lorentz Zygmund Spaces
Leo R. Ya. Doktorski
Nikolskii type inequalities for entire functions of exponential type on Rn for the Lorentz Zygmund spaces are obtained. Some new limiting cases are examined. Application to Besov t…
Reiteration Theorem for and -spaces with the same parameter
Leo R. Ya. Doktorski, Pedro Fernández-Martínez, Teresa M. Signes
Let be rearrangement invariant spaces; let be slowly varying functions and . We characterize the interpol…
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 or limiting interpolation spa…
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.