The Hessian equation in quaternionic space

2023/10/25 by Amal, Hichame, Asserda, Saïd, Barloub, Mohamed
#32U15 #35J60 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.16774

Abstract

In this paper, we introduce m-subharmonic functions in quaternionic space ℍⁿ, we define the quaternionic Hessian operator and solve the homogeneous Dirichlet problem for the quaternionic Hessian equation on the unit ball with continuous boundary data.

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