Geodesic
The Calder\'on construction for a~couple of\/ global Morrey spaces
Izvestiya. Mathematics , Tome 85 (2021) no. 5, pp. 833-851.

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We employ a new approach to show that the Calderón construction for a couple of global Morrey spaces coincides with the Morrey space with appropriate parameters only under rather strong assumptions on the couples of ideal spaces that parameterize the original Morrey spaces. We show that, in the case of classical examples of global Morrey spaces, these assumptions are necessary and sufficient. Applying a well-known reduction, we use the Calderón construction for a couple of global Morrey spaces to describe the spaces given by the complex interpolation method and also to prove new interpolation theorems for global Morrey spaces.
Keywords: Banach ideal space, complex interpolation methods, global Morrey spaces, interpolation theorems on global Morrey spaces.
Mots-clés : Calderón construction 
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E. I. Berezhnoi. The Calder\'on construction for a~couple of\/ global Morrey spaces. Izvestiya. Mathematics , Tome 85 (2021) no. 5, pp. 833-851. http://geodesic.mathdoc.fr/item/IM2_2021_85_5_a1/

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