Weighted Koppelman formulas and the $\dbar$-equation on an analytic space

H{\aa}kan Samuelsson; Mats Andersson

arxiv: 1012.4269 · v2 · pith:SVZ6RJQNnew · submitted 2010-12-20 · 🧮 math.CV

Weighted Koppelman formulas and the dbar-equation on an analytic space

Mats Andersson , H{\aa}kan Samuelsson This is my paper

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keywords dbarequationanalyticformulaskoppelmanresultsspaceweighted

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Let $X$ be an analytic space of pure dimension. We introduce a formalism to generate intrinsic weighted Koppelman formulas on $X$ that provide solutions to the $\dbar$-equation. We obtain new existence results for the $\dbar$-equation, as well as new proofs of various known results.

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Weighted Koppelman formulas and the dbar-equation on an analytic space

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