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...
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 |
Similar Items
-
A note on the space of delta m-subharmonic functions
by: Van Thien Nguyen, et al.
Published: (2020-03-01) -
Hessian measures in the class of m-convex (m - cv) functions
by: M.B. Ismoilov, et al.
Published: (2024-09-01) -
On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions
by: Stephen J. Gardiner, et al.
Published: (2020-04-01) -
Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
by: Mohamed Ben Chrouda
Published: (2022-12-01) -
The exterior Dirichlet problem for the homogeneous complex k-Hessian equation
by: Gao Zhenghuan, et al.
Published: (2023-01-01)