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arxiv: 1002.3923 · v1 · submitted 2010-02-22 · 🧮 math.CV

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

classification 🧮 math.CV
keywords berndtsson-anderssoncarlesonconvexdomainsfinitenormoperatortype
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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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