Associate spaces of logarithmic interpolation spaces and generalized Lorentz–Zygmund spaces

Autor: Fernando Cobos, Luz M. Fernández Cabrera, Blanca F. Besoy

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We determine the associate space of the logarithmic interpolation space (X0, X1)1,q,A where X0 and X1 are Banach function spaces over a σ-finite measure space (Ω, µ). Particularizing the results for the case of the couple (L1, L∞) over a non-at

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e025367d55ac17c7deb2a8d6d66377b4
https://doi.org/10.5186/aasfm.2020.4525

On the Structure of a Limit Class of Logarithmic Interpolation Spaces

Autor: Luz M. Fernández-Cabrera, Fernando Cobos, Blanca F. Besoy

Publikováno v: Mediterranean Journal of Mathematics. 17

We investigate the interpolation spaces $$\left( A_{0}, A_{1}\right) _{1,\infty , (0, \alpha _{\infty })}$$ formed by all $$ a \in A_{0}+A_{1}$$ , having a finite norm: $$\begin{aligned} {}\left\Vert a \right\Vert _{\left( A_{0}, A_{1}\right) _{1,\in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::358274433888f0e2133418ec55453b48
https://doi.org/10.1007/s00009-020-01602-7

Real Interpolation of Compact Bilinear Operators

Autor: Luz M. Fernández-Cabrera, Antón Martínez

Publikováno v: Journal of Fourier Analysis and Applications. 24:1181-1203

We establish an analog for bilinear operators of the compactness interpolation result for bounded linear operators proved by Cwikel and Cobos, Kuhn and Schonbek. We work with the assumption that $$T:(A_0+A_1) \times (B_0+B_1) \longrightarrow E_0+E_1$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::16ef4aa5af80376713a7bd3a3cf0909b
https://doi.org/10.1007/s00041-017-9561-7

Duality for logarithmic interpolation spaces and applications to Besov spaces

Autor: Fernando Cobos, Luz M. Fernández-Cabrera

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We review several results on duality of logarithmic interpolation spaces and applications to Besov spaces. We also establish some new results on Besov spaces with smoothness close to zero defined by differences.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a912ed9b7ba70436a188d112106d026
https://eprints.ucm.es/56905/

Estimates for the spectrum on logarithmic interpolation spaces

Autor: Luz M. Fernández-Cabrera, Fernando Cobos, Antón Martínez

Publikováno v: Journal of Mathematical Analysis and Applications. 437:292-309

We study spectral properties of operators on logarithmic perturbations of the real interpolation spaces with θ = 0 or 1. We also establish estimates for the measure of non-compactness of operators interpolated by those methods.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c9f86057d59118eb4ff09f7b42613c58
https://doi.org/10.1016/j.jmaa.2016.01.003