A sufficient condition for subellipticity of the d-bar-Neumann operator

Anne-Katrin Herbig

A sufficient condition for subellipticity of the d-bar-Neumann operator

Complex Variables 2011-10-10 v1

Authors: Anne-Katrin Herbig

Abstract

We give a sufficient condition for subelliptic estimates for the d-bar-Neumann operator on smoothly bounded, pseudoconvex domains in $\mathbb{C}^n$ . This condition is a quantified version of McNeal's condition ( $\tilde{P}$ ) for compactness of the d-bar-Neumann operator, and it extends Catlin's condition for subellipticity as it is less stringent.

Keywords

d-bar-neumann operator subelliptic estimates pseudoconvex domains mcneal condition catlin condition compactness

Cite

@article{arxiv.math/0503202,
  title  = {A sufficient condition for subellipticity of the d-bar-Neumann operator},
  author = {Anne-Katrin Herbig},
  journal= {arXiv preprint arXiv:math/0503202},
  year   = {2011}
}

Comments

25 pages

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