A General Method of Weights in the D-Bar-Neumann Problem

This book studies the d-bar-Neumann problem in Several Complex Variables and especially focuses on a general estimate on domains which are not necessarily of D'Angelo finite type and pseudoconvexity. When the domain is pseudoconvex and of finite type, a great deal of work has been done on subelliptic estimates. The most general results concerning this problem have been obtained by J.J. Kohn in his Acta Mathematica paper in 1979 and by D. Catlin in his Annals of Mathematics paper in 1983. We use the method of weights of D. Catlin to study this problem on domains of the general type.