Some results on the convergence of Hessian operator and m−subharmonic functions

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 $ Cap_m $ implies the weak co...

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Bibliographic Details
Main Authors: Jawhar Hbil, Mohamed Zaway
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022502?viewType=HTML