We study interpolation spaces between global Morrey spaces and between
local Morrey spaces. We prove that for a wide class of couples of these
spaces the upper complex Calderón spaces are not described by the
-method
of interpolation. A by-product of our results is that couples of Morrey spaces
belonging to this class are not Calderón–Mityagin couples. A Banach couple
is said to have the
universal
-property
if all relative interpolation spaces from any Banach couple to
are relatively
-monotone.
A couple of local Morrey spaces is proved to have the universal
-property
once it is a Calderón–Mityagin couple.
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