On the Solvability of (DELTA) in a Class of Hypo-Analytic Manifolds

The solvability of (delta) operator in a class of hypo-analytic manifolds in complex dimension 2 isstudied. suitable weighted l^2 spaces are introduced for establishing an a priori inequality. theregularity of the solutions is shown by using a theory of degenerate elliptic oyerators, developedby grusin and visik. the theorem obtained is a degenerate version for the (delta) problem in strictlypseudo-convex domains.