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Besoy, Blanca F. ; Cobos, Fernando | 2019We determine the associate space of the logarithmic interpolation space (X0, X1)1,q,A where X0 and X1 are Banach function spaces over a ?-finite measure space (?, µ). Particularizing the results for the case of the couple (L1, L?) over a non-ato[...]texto impreso
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 ?-finite measure space (?, µ). Particularizing the results for the case of the couple (L1, L?) over a non-ato[...]texto impreso
Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function[...]texto impreso
Besoy, Blanca F. ; Cobos, Fernando | 2019We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with ? = 0, 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.texto impreso
Besoy, Blanca F. ; Cobos, Fernando | 2020We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with [?] = 0; 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.texto impreso
Besoy, Blanca F. | Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics) | 2019Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 B1 is compact, then the interpolated operator by the logarithmic method T : (A0,A1)1;q;A -> (B0;B1)1;q;A is compact too. This result allows th[...]texto impreso
We study the description by means of the J-functional of logarithmic interpolation spaces (A0, A1) 1, q, A in the category of the p-normed quasi-Banach couples (0
