English

A sufficient condition for global regularity of the d-bar-Neumann operator

Complex Variables 2007-05-23 v2 Analysis of PDEs

Abstract

A theory of global regularity of the d-bar-Neumann operator is developed which unifies the two principal approaches to date, namely the one via compactness due to Kohn-Nirenberg and Catlin, and the one via plurisubharmonic defining functions and/or vector fields that commute approximately with d-bar due to Boas and the author.

Keywords

Cite

@article{arxiv.math/0510354,
  title  = {A sufficient condition for global regularity of the d-bar-Neumann operator},
  author = {Emil J. Straube},
  journal= {arXiv preprint arXiv:math/0510354},
  year   = {2007}
}