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

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal