  We will prove that under certain conditions on the parameters the operators
$T^{+}f = \max(f,0)$ and $ Tf = |f| $ are bounded mappings on the
Triebel-Lizorkin-Morrey and Besov-Morrey spaces. Moreover we will show that
some of the conditions we mentioned before are also necessary. Furthermore we
prove that for $p < u $ in many cases the Triebel-Lizorkin-Morrey spaces do not
have the Fubini property.
