Decay near boundary of volume of sublevel sets of $m-$subharmonic functions

We investigate decay near boundary of the volume of sublevel sets in Cegrell classes of $m-$ subharmonic function on bounded domains in ${\mathbb{C}}^n\mathrm{.}$ On the reverse direction, some sufficient conditions for membership in certain Cegrell’s classes, in terms of the decay of the sublevel sets, are also discussed.