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

摘要

We show that the existence of a certain family of plurisubharmonic functions on a bounded domain in C-n implies that the (&PARTIAL;) over bar -Neumann operator associated to the domain is compact. Our condition generalizes previous work of Catlin on compactness of the (&PARTIAL;) over bar -Neumann operator. (C) 2002 Elsevier Science (USA). [References: 33]