2026-04-03T19:38:34Zhttps://recercat.cat/oai/requestoai:recercat.cat:2072/3775322024-12-20T09:11:08Zcom_2072_199267com_2072_4427col_2072_199862
RECERCAT
author
Burenkov, V.I.
author
Darbayeva, D.K.
author
Nursultanov, E.D.
2020-10-14T10:08:30Z2024-09-19T13:18:39Z
2020-10-14T10:08:30Z2024-09-19T13:18:39Z
2014-01-01
http://hdl.handle.net/2072/377532
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.
eng
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/
Description of interpolation spaces for the pair of local Morrey-type spaces and their generalizations
info:eu-repo/semantics/preprint
URL
https://recercat.cat/bitstream/2072/377532/1/D5-BurenkovNursultanovMaRcAt.pdf
File
MD5
4dc8b744436a10d8f7b62384905e2b5b
565158
application/pdf
D5-BurenkovNursultanovMaRcAt.pdf
URL
https://recercat.cat/bitstream/2072/377532/5/D5-BurenkovNursultanovMaRcAt.pdf.txt
File
MD5
d501e55f901249abe426f38969bdc664
70684
text/plain
D5-BurenkovNursultanovMaRcAt.pdf.txt