Subextension and approximation of m-subharmonic functions with given boundary values

2023/11/17 by Amal, Hichame, Gasmi, Ayoub El
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.10396

Abstract

In this paper we establish a result on subextension of m-subharmonic functions in the class F_m(Ω,f) without changing the hessian measures. As application, we approximate a m-subharmonic function with given boudary value by an increasing sequence of m-subharmonic functions defined on larger domains.

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