A berndtsson-Andersson operator solving ∂-equation with Wα-estimates on convex domains of finite type

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.

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