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

Mathematics – Complex Variables

Scientific paper

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Scientific paper

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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