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

• Date: 2025
• Main Authors: Amal, Hichame, El Gasmi, Ayoub, El Gaсmi, Ayoub
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8215
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We establish a result on subextension of $m$-subharmonic functions  in the class $\mathcal{F}_m(\Omega,f)$  without changing the Hessian measures. As application, we approximate an $m$-subharmonic function with given boundary value by an increasing sequence of $m$-subharmonic functions def...