A sufficient condition for subellipticity of the partial derivative-Neumann operator

摘要

We give a sufficient condition for subelliptic estimates for the partial derivative-Neumann operator on smoothly bounded, pseudoconvex domains in C-n. This condition is a quantified version of McNeal's condition ((P) over tilde) for compactness of the partial derivative-Neumann operator, and it extends Catlin's sufficiency condition for subellipticity as it is less stringent. (C) 2006 Elsevier Inc. All rights reserved.