2021/03/16 by Pedro Fernández‐Martínez, Pedro Fernández-Martínez, Fernández-Martínez, Pedro +3
Mathematics · #26A12 #46B70 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA #msc:26A12 #msc:46B70 #msc:46E30
paper · pdf · doi:10.48550/arxiv.2103.08956
arXiv admin note: substantial text overlap with arXiv:2010.06940
arxiv created 2021/03/16 · openalex publication_date 2021/03/16 · arxiv updated 2021/03/17 · openalex created_date 2021/03/29 · openalex updated_date 2026/07/28
Given E0, E1, F0, F1, E rearrangement invariant function spaces, a0, a1, b0, b1, b slowly varying functions and 0< θ0<θ1<1, we characterize the interpolation spaces (X\mathcal Rθ0,b0,E0,a0,F0, X\mathcal Rθ1, b1,E1,a1,F1)θ,b,E, (X\mathcal Lθ0, b0,E0,a0,F0, X\mathcal Lθ1,b1,E1,a1,F1)θ,b,E and (X\mathcal Rθ0,b0,E0,a0,F0, X\mathcal Lθ1, b1,E1,a1,F1)θ,b,E, (X\mathcal Lθ0, b0,E0,a0,F0, X\mathcal Rθ1,b1,E1,a1,F1)θ,b,E, for all possible values of θ∈[0,1]. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given.