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

Besoy, Blanca F.Cobos, Fernando2023-06-152023-06-1520191798-2383https://hdl.handle.net/20.500.14352/162We 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-atomic measure space, we recover results of Opic and Pick on associate spaces of generalized Lorentz-Zygmund spaces L(∞,q;A). We also establish the corresponding results for sequence spaces.engAssociate spaces of logarithmic interpolation spaces and generalized Lorentz-Zygmund spacesjournal articleopen access515.175.2517.982.22Banach function SpacesGeneralized Lorentz-Zygmund spacesdescription of K-spaces in terms of the J-functionalgeneralized Lorentz-Zygmund spacesEspacios de BanachMatemáticas (Matemáticas)Análisis matemático12 Matemáticas1202 Análisis y Análisis Funcional