Plurisubharmonic Defining Functions , Good Vector Fields , Andexactness of a Certain One Form 1 ; 2

@inproceedings{Straube2008PlurisubharmonicDF,
title={Plurisubharmonic Defining Functions , Good Vector Fields , Andexactness of a Certain One Form 1 ; 2},
author={Emil J. Straube and Mar el K. Su heston},
year={2008}
}

We show that the approaches to global regularity of the ∂̄-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. This paper is concerned with the relationship between some conditions, listed in the title, that are known to imply global regularity of the ∂̄-Neumann problem. While these… CONTINUE READING

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