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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2023 Volume 14, Number 1, Pages 25–38 (Mi emj460)

This article is cited in 2 papers

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

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.

MSC: 46E30, 46B42, 46B70

Received: 20.01.2021

Language: English

DOI: 10.32523/2077-9879-2023-14-1-25-38



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