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

Anne-Katrin Herbig
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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.

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Anne-Katrin Herbig. 2005-03-10. A sufficient condition for subellipticity of the d-bar-Neumann operator. https://arxiv.org/abs/math/0503202

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