Weighted Koppelman formulas and the $\text{dbar}$-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 $\text{dbar}$-equation. We obtain new existence results for the $\text{dbar}$-equation, as well as new proofs of various known results.