4 papers
Maximal subextension of -subharmonic functions
Hichame Amal, Saïd Asserda, Ayoub El-Gasmi
In this paper, we prove that given a quasi--hyperconvex domain in a compact Kähler manifold , and a function in the weighted energy class $\mathcal{…
Subextension and approximation of -subharmonic functions with given boundary values
Hichame Amal, Ayoub El Gasmi
In this paper we establish a result on subextension of -subharmonic functions in the class without changing the hessian measures. As application, we approx…
The Hessian equation in quaternionic space
Hichame Amal, Saïd Asserda, Mohamed Barloub
In this paper, we introduce -subharmonic functions in quaternionic space , we define the quaternionic Hessian operator and solve the homogeneous Dirichlet proble…
A variational approach to the quaternionic Hessian equation
Hichame Amal, Saïd Asserda, Mohamed Barloub
In this paper, we introduce finite energy classes of quaternionic -plurisubharmonic functions of Cegrell type and define the quaternionic -Hessian operator on some Cegrell's…