A berndtsson-Andersson operator solving \bar\partial-equation with W^α-estimates on convex domains of finite type

preprint2010arXivOpen access

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.

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A berndtsson-Andersson operator solving \bar\partial-equation with W^α-estimates on convex domains of finite type

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