Formulas for approximate solutions of the $\partial \bar{\partial}$-equation in a strictly pseudoconvex domain
Mats Andersson, Hasse Carlsson · Revista Matemática Iberoamericana · 1995
Let D be a bounded strictly pseudoconvex domain in \mathbb C^n . We construct approximative solution formulas for the equation i\partial \bar{\partial}u = \theta , \theta being an exact (1,1 )-form in D . We show that our formulas give simple proofs of known estimates and indicate further applications.