On subextension and approximation of plurisubharmonic functions with given boundary values
Volume 110 / 2014
Annales Polonici Mathematici 110 (2014), 247-258
MSC: Primary 32W20; Secondary 32U15.
DOI: 10.4064/ap110-3-3
Abstract
Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in $\mathcal {E}_\chi (\varOmega ,H)$, the class of functions with finite $\chi $-energy and given boundary values. We show that, under certain conditions, one can approximate any function in $\mathcal {E}_\chi (\varOmega ,H)$ by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.
