Weighted Koppelman formulas and the ¯∂ -equation on an analytic space

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 ¯∂-equation. We obtain new existence results for the ¯∂ -equation, as well as new proofs of various known results. © 2011 Elsevier Inc. All rights reserved