Resumen de Capacity and stability on some Cegrell classes of m-subharmonic functions

Jawhar Hbil, Mohamed Zaway

• The aim of this paper is to show some equivalent conditions to the convergence in m-capacity for a sequence of m-subharmonic functions based on its Hessian measure. As an application, we prove a stability theorem which is analogous to Cegrell and Kołodziej theorem from [14].