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arXiv 2012-10-26 0 views

Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains

Avelin, Benny · Hed, Lisa · Persson, Håkan

Original · EN

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.

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