2026-04-03T19:38:30Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/3775322024-12-20T09:11:08Zcom_2072_199267com_2072_4427col_2072_199862

Description of interpolation spaces for the pair of local Morrey-type spaces and their generalizations Burenkov, V.I. Darbayeva, D.K. Nursultanov, E.D. We consider the real interpolation method and prove that for general local Morrey-type spaces, in the case when they have the same integrability parameter, the interpolation spaces are again general local Morrey-type spaces with appropriately chosen parameters. This result is a particular case of the interpolation theorem for much more general spaces defined with the help of an operator acting from some function space to the cone of non-negative non-decreasing functions on $ (0,\infty)$ . It is also shown how the classical interpolation theorems due to Stein-Weiss, Peetre, Calder\'\''{o}n, Gilbert, Lizorkin, Freitag and some of their new variants can be derived from this theorem. 2020-10-14T10:08:30Z 2024-09-19T13:18:39Z 2020-10-14T10:08:30Z 2024-09-19T13:18:39Z 2020-10-14T10:08:30Z 2024-09-19T13:18:39Z 2014-01-01 info:eu-repo/semantics/preprint http://hdl.handle.net/2072/377532 eng CRM Preprints info:eu-repo/semantics/openAccess L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ RECERCAT (Dipòsit de la Recerca de Catalunya)