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arXiv · 1703.03181

Extension and approximation of $m$-subharmonic functions

Per Ahag·Rafal Czyz·Lisa Hed
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Abstract

Let $\Omega\subset \mathbb C^n$ be a bounded domain, and let $f$ be a real-valued function defined on the whole topological boundary $\partial \Omega$. The aim of this paper is to find a characterization of the functions $f$ which can be extended to the inside to a $m$-subharmonic function under suitable assumptions on $\Omega$. We shall do so by using a function algebraic approach with focus on $m$-subharmonic functions defined on compact sets. We end this note with some remarks on approximation of $m$-subharmonic functions.

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Per Ahag, Rafal Czyz, Lisa Hed. 2017-03-09. Extension and approximation of $m$-subharmonic functions. https://doi.org/10.1080/17476933.2017.1345888

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