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

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

2010-02-22

arxiv.org/abs/1002.3923v1

Mathematics

Complex Variables

28 pages

Scientific paper

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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