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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 allows us to obtain new interpolation theorems for operators on local Morrey spaces.doi:10.32523/2077-9879-2020-11-3-21-34 fatcat:n45jvz53rjawraguuz2nu27v6a