A sufficient condition for subellipticity of the [formula omitted]-Neumann operator

Abstract

We give a sufficient condition for subelliptic estimates for the ∂ ¯ -Neumann operator on smoothly bounded, pseudoconvex domains in C n . This condition is a quantified version of McNeal's condition ( P ˜ ) for compactness of the ∂ ¯ -Neumann operator, and it extends Catlin's sufficiency condition for subellipticity as it is less stringent.