A berndtsson-Andersson operator solving \bar\partial-equation with W^α-estimates on convex domains of finite type
William Alexandre · arXiv (Cornell University) · 2010
In this article, we use a Berndtsson-Andersson operator and the Bergman metric in order to solve the $\bar\partial$ equation on convex domains of finite type for forms satisifying a Carleson condition and get norm estimates of the solution in term of the Carleson norm.