Calculation of the Calderón – Lozanovskii Construction for a Couple of Local Morrey Spaces

2020

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DOI 10.32523/2077-9879-2020-11-3-21-34
Data confidence 70 medium
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Abstract

The calculation of the Calderón – Lozanovskii construction for a couple of local Morrey spaces is reduced to the calculation of the Calderón – Lozanovskii construction for two couples of ideal spaces of functions and sequences, that are the parameters in the definition of local Morrey spaces. These results allow us to obtain new interpolation theorems for operators on local Morrey spaces.