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

2010/02/22 by William Alexandre, Alexandre, William
Mathematics · #32A25 #32A26 (Primary) #32A37 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32A25 #msc:32A26 #msc:32A37

paper · pdf · doi:10.48550/arxiv.1002.3923

28 pages

arxiv created 2010/02/22 · arxiv updated 2010/02/26

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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