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We show that the spaces of $A$-$m$-subharmonic and $B$-$m$-subharmonicfunctions differ in sufficently high dimensions. We also prove that theMonge-Amp\`ere type operator $\mathcal M_m$ associated to the space of$m$-plurisubharmonic functions does not allow an integral comparison principleexcept in the classical cases $m=1$ and $m=n$. These answer in the negative twoproblems posed by A. Sadullaev.

m-subharmonic and m-plurisubharmonic functions -- on two problems of Sadullaev