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Eurasian Mathematical Journal, 2023, Volume 14, Number 1, Pages 25–38
DOI: https://doi.org/10.32523/2077-9879-2023-14-1-25-38 (Mi emj460) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Calderón–Lozanovskiĭ construction for a couple of global Morrey spaces

E. I. Berezhnoi

Department of Mathematics, Yaroslavl State University, 14 Sovetskaya St, 150 000 Yaroslavl, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2023-14-1-25-38
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.
Received: 20.01.2021
Bibliographic databases:
Document Type: Article
MSC: 46E30, 46B42, 46B70
Language: English
Citation: E. I. Berezhnoi, “Calderón–Lozanovskiĭ construction for a couple of global Morrey spaces”, Eurasian Math. J., 14:1 (2023), 25–38
Citation in format AMSBIB
\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}
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