English

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

Complex Variables 2007-05-23 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0105050,
  title  = {Plurisubharmonic defining functions, good vector fields, and exactness of a certain one form},
  author = {Emil J. Straube and Marcel K. Sucheston},
  journal= {arXiv preprint arXiv:math/0105050},
  year   = {2007}
}
R2 v1 2026-07-22T16:38:36.389Z