2026-04-20T14:30:43Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/97512025-01-17T09:26:57Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

On spaces of integrable functions associated to vector measures and limiting real interpolation Fernández Carrión, Antonio Manzano Rodríguez, Antonio Extreme interpolation spaces Vector measures Lorentz-Zygmund spaces Optimal domain p-th power factorable operators Bidual (p, q)-power-concave operators Análisis matemático Mathematical analysis We investigate which spaces are obtained when considering the limiting class of real interpolation spaces (0, q; J) for ordered Banach couples of spaces of (scalar) integrable functions with respect to a vector measure m, defined on a σ-algebra, with values in a Banach space. If m is in particular a finite positive scalar measure, previous known results are derived from ours. Furthermore, we study the interpolation of p-th power factorable operators by the extreme real interpolation method (1, q; K). We also deduce interpolation results for the (1, q; K)-method that apply to other related classes of operators to p-th power factorable operators, such as bidual (p, q)-power-concave operators and q-concave operators. The second named author was supported in part by UCM Grant PR3/23-30811. 2024-12-03T08:59:22Z 2024-12-03T08:59:22Z 2024-12 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 0022-247X http://hdl.handle.net/10259/9751 10.1016/j.jmaa.2024.128573 eng Journal of Mathematical Analysis and Applications. 2024, V. 540, n. 1, 128573 https://doi.org/10.1016/j.jmaa.2024.128573 info:eu-repo/grantAgreement/UCM/Ayudas para la financiación de proyectos de investigación UCM 2022/PR3%2F23-30811//Teoría de Interpolación, Espacios de Funciones y Operadores Multilineales/TIEFOM Atribución-NoComercial 4.0 Internacional http://creativecommons.org/licenses/by-nc/4.0/ info:eu-repo/semantics/openAccess application/pdf Elsevier