Plurisubharmonic defining functions, good vector fields, and exactness of a certain one form

2001/05/07 by Emil J. Sträube, Emil J. Straube, Straube, Emil J. +2
Mathematics · #32W05 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #math.AP #math.CV #msc:32W05

paper · pdf · doi:10.48550/arxiv.math/0105050

arxiv created 2001/05/07 · openalex publication_date 2001/05/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the approaches to global regularity of the d-bar Neumann problem via the methods listed in the title are equivalent when the conditions involved are suitably modified. These modified conditions are also equivalent to one that is relevant in the context of Stein neighborhood bases and Mergelyan type approximation.

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