A berndtsson-Andersson operator solving \bar\partial-equation with W^α-estimates on convex domains of finite type
arXiv:1002.3923
Abstract
In this article, we use a Berndtsson-Andersson operator and the Bergman metric in order to solve the 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.
28 pages