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arXiv 1002.3923math.CV
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解有限型凸区域上具有W^α-估计的\bar \partial -方程的Berlesson-Andersson算子

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

William Alexandre

摘要:

本文利用Berlesson-Andersson算子和Bergman度量求解了有限型凸区域上满足Carleson条件形式的$\bar\partial$方程,并得到了解的Carleson范数估计.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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