Maximal subextension and approximation of $m-$subharmonic function

Abstract

In this paper, we first study subextensions in the classes ${\mathcal{F}}_m(\Omega )$ and ${\mathcal{E}}_{m,\chi }(\Omega )$. These results are then used to study approximation in the classes ${\mathcal{F}}_m(\Omega )$ and ${\mathcal{E}}_{m,\chi }(\Omega )$.

24 pages, accepted to Michigan Mathematical Journal with small revisions

Cited by in corpus (1)

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