2026-04-20T16:09:45Zhttps://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

Fernández Carrión, Antonio 485c739e-bb81-458e-9323-38117b67c55b Manzano Rodríguez, Antonio 758 600 0000-0002-1525-5319 2024-12-03T08:59:22Z 2024-12-03T08:59:22Z 2024-12 0022-247X http://hdl.handle.net/10259/9751 10.1016/j.jmaa.2024.128573 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. application/pdf eng Elsevier 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 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 On spaces of integrable functions associated to vector measures and limiting real interpolation info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Journal of Mathematical Analysis and Applications 540 1 128573 THUMBNAIL Fernandez-jmaa_2024.pdf.jpg Fernandez-jmaa_2024.pdf.jpg IM Thumbnail image/jpeg 4673 https://riubu.ubu.es/bitstream/10259/9751/4/Fernandez-jmaa_2024.pdf.jpg 760e46c551080916efb4d20dddffea7d MD5 4 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/9751/3/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 3 CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 914 https://riubu.ubu.es/bitstream/10259/9751/2/license_rdf 24013099e9e6abb1575dc6ce0855efd5 MD5 2 ORIGINAL Fernandez-jmaa_2024.pdf Fernandez-jmaa_2024.pdf application/pdf 451293 https://riubu.ubu.es/bitstream/10259/9751/1/Fernandez-jmaa_2024.pdf f086bcde3296f7493286bb0646ae02e3 MD5 1 10259/9751 oai:riubu.ubu.es:10259/9751 2025-01-17 10:26:57.169 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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