Vol. 307, No. 1, 2020

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Local plurisubharmonic defining functions on the boundary

Luka Mernik

Vol. 307 (2020), No. 1, 221–238
Abstract

Necessary conditions for a domain Ω n admitting a local plurisubharmonic defining function on the boundary are given. In tandem, we give an algorithm to construct a local plurisubharmonic defining function on the boundary when one exists. In some cases we show that the necessary conditions are also sufficient.

Keywords
plurisubharmonic defining functions
Mathematical Subject Classification 2010
Primary: 32T27
Milestones
Received: 4 November 2019
Revised: 17 March 2020
Accepted: 21 March 2020
Published: 8 August 2020
Authors
Luka Mernik
Department of Mathematics
The Ohio State University
Columbus, OH
United States