# Formulas for approximate solutions of the $\partial \bar{\partial}$-equation in a strictly pseudoconvex domain

### Mats Andersson

Chalmers University of Technology, Gothenburg, Sweden### Hasse Carlsson

Chalmers University of Technology, Gothenburg, Sweden

## Abstract

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.

## Cite this article

Mats Andersson, Hasse Carlsson, Formulas for approximate solutions of the $\partial \bar{\partial}$-equation in a strictly pseudoconvex domain. Rev. Mat. Iberoam. 11 (1995), no. 1, pp. 67–101

DOI 10.4171/RMI/166