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arXiv · 1012.4269

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

Mats Andersson·Håkan Samuelsson
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Abstract

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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Mats Andersson, Håkan Samuelsson. 2011-02-18. Weighted Koppelman formulas and the $\dbar$-equation on an analytic space. https://arxiv.org/abs/1012.4269

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