On the approximation of weakly plurifinely plurisubharmonic functions (1801.08342v1)

Abstract: In this note, we study the approximation of singular plurifinely plurisubharmonic function $u$ defined on a plurifinely domain $\Omega$. Under some conditions, we prove that $u$ can be approximated by an increasing sequence of plurisubharmonic functions defined on Euclidean neighborhoods of $\Omega$.