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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{IM2_2021_85_5_a1,
     author = {E. I. Berezhnoi},
     title = {The {Calder\'on} construction for a~couple of\/ global {Morrey} spaces},
     journal = {Izvestiya. Mathematics },
     pages = {833--851},
     publisher = {mathdoc},
     volume = {85},
     number = {5},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_5_a1/}
}
TY  - JOUR
AU  - E. I. Berezhnoi
TI  - The Calder\'on construction for a~couple of\/ global Morrey spaces
JO  - Izvestiya. Mathematics 
PY  - 2021
SP  - 833
EP  - 851
VL  - 85
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2021_85_5_a1/
LA  - en
ID  - IM2_2021_85_5_a1
ER  - 
%0 Journal Article
%A E. I. Berezhnoi
%T The Calder\'on construction for a~couple of\/ global Morrey spaces
%J Izvestiya. Mathematics 
%D 2021
%P 833-851
%V 85
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2021_85_5_a1/
%G en
%F IM2_2021_85_5_a1
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/