The $\partial \bar{\partial }$-problem for a differential forms with boundary value in currents sense defined in a contractible completely strictly pseudoconvex domain of a complex manifold

Abstract

We solve the $\partial \bar{\partial }$-problem for the differential forms of class $C^{\infty }$ with boundary value in currents sense defined on a contractible completely strictly pseudoconvex domain of a complex manifold.

10 pages