EQUIVALENCE OF REGULARITY FOR THE BERGMAN PROJECTION AND THE DELTABAR-NEUMANN OPERATOR

A necessary and sufficient condition for regularity of the {Mathematical expression}-Neumann operator on (0, q)-forms in a smooth bounded pseudoconvex domain in Cn is that the orthogonal projections onto {Mathematical expression}-closed forms of degrees (0, q-1), (0, q), and (0, q+1) all be regular. © 1990 Springer-Verlag.