INTEGRAL REPRESENTATION OF FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS AND APPLICATIONS TO THE $ \overline{\partial}$-PROBLEM

Abstract

The integral representation obtained for smooth functions defined in strictly pseudoconvex domains in -dimensional complex space can be considered as the natural extension of the well-known Cauchy-Green formula. Using this representation we succeed in obtaining a formula and uniform bound for solutions of the -problem in strictly pseudoconvex domains.Bibliography: 11 titles.