Calder\'on--Lozanovski{\u\i} construction for a couple of global Morrey spaces

E. I. Berezhnoi

Eurasian mathematical journal, Tome 14 (2023) no. 1, pp. 25-38.

Résumé

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.

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