Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains

Abstract

Using techniques from the analysis of PDEs to study the boundary behaviour of functions on domains with low boundary regularity, we extend results by Fornaæss-Wiegerinck (1989) on plurisubharmonic approximation and by Demailly (1987) on the existence on bounded plurisubharmonic exhaustion functions to domains beyond Lipschitz boundary regularity.

Cited by in corpus (1)

• Plurisubharmonic Approximation and Boundary Values of Plurisubharmonic Functions