Abstract:
It is shown that under certain conditions on the parameters included in the definition of global Morrey spaces, the Calderón–Lozanovskiĭ construction on a pair of global Morrey spaces gives a space of the same type. Calculation of the Calderón–Lozanovskiĭ construction for a pair of global Morrey spaces allowed us to obtain new interpolation theorems even for classical global Morrey spaces.
Keywords and phrases:
Calderón–Lozanovskiĭ construction, global Morrey spaces, Banach ideal spaces, interpolation theorems in global Morrey spaces.
\Bibitem{Ber23}
\by E.~I.~Berezhnoi
\paper Calder\'on--Lozanovski{\u\i} construction for a couple of global Morrey spaces
\jour Eurasian Math. J.
\yr 2023
\vol 14
\issue 1
\pages 25--38
\mathnet{http://mi.mathnet.ru/emj460}
\crossref{https://doi.org/10.32523/2077-9879-2023-14-1-25-38}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4575858}
Linking options:
https://www.mathnet.ru/eng/emj460
https://www.mathnet.ru/eng/emj/v14/i1/p25
This publication is cited in the following 1 articles:
Alexander Meskhi, Humberto Rafeiro, Tsira Tsanava, “Predual space and Calderón construction for grand weighted Morrey spaces, and some applications”, Bol. Soc. Mat. Mex., 30:2 (2024)
Citation in format AMSBIB
Contact us: