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arXiv · 2311.10396

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

Hichame Amal·Ayoub El Gasmi
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Abstract

In this paper 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 a $m$-subharmonic function with given boudary value by an increasing sequence of $m$-subharmonic functions defined on larger domains.

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Hichame Amal, Ayoub El Gasmi. 2023-11-17. Subextension and approximation of $m$-subharmonic functions with given boundary values. https://doi.org/10.1007/s11253-025-02460-w

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