@article{Hbil2022, 
author = {Jawhar Hbil and Mohamed Zaway},
title = {Some results on the convergence of Hessian operator and    m  −subharmonic functions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9023-9038},
keywords = {m−subharmonic function, m−Capacity, Hessian operator},
url = {https://www.sciopen.com/article/10.3934/math.2022502},
doi = {10.3934/math.2022502},
abstract = {In this paper we treat the problem of connection between the convergence in    m  −capacity and the convergence of the Hessian measure for a sequence       f    j   of    m  −subharmonic functions. We prove first that, under some conditions, the convergence of        f    j   in capacity    C  a      p    m   implies the weak convergence of the Hessian measures        H    m    (      f    j    ). Then we show that the converse sense of convergence is also true in some particular cases.}
}