Integral representation formulas for differential forms on complex manifolds and applications to the \({\bar \partial}\)-equation
The author derives an explicit global integral formula of Koppelman- Leray-Nourget type for differential forms on generalized analytic polyhedra on complex manifolds. Using this formula, the author gives explicit solution operator to the \({\bar \partial}\)-equation on strictly pseudoconvex polyhedra and proves that this solution admits uniform estimates.
integral formula of Koppelman-Leray-Nourget type
scientific article; zbMATH DE number 4150634
scientific article