$(m,\psi ,\delta )-$capacity and its properties

In this paper, we introduce the concept of the generalized $(m,\psi ,\delta )-$capacity in the complex space ${\mathbb{C}}^n$, within the class of $m-$subharmonic functions. We give a relation between $(m,\psi ,\delta )-$capacity and $(m,\psi ,\delta )-$subharmonic measure. Moreover, we prove that the capacity vanishes on $m-$polar sets and vice versa.