A new capacity in the class of $m-sh$ functions defined by Laplace operator

In this talk we introduce a new capacity in the class of $m$-subharmonic functions by Laplace operator. We prove that the new capacity satisfies all the properties of Choquet’s capacity. Moreover, by comparing this capacity with Sadullaev—Abdullaev capacities we show that our capacity is zero if and only if the set is $m$-polar.