Let Σ be a weighted homogeneous (singular) subvariety of C n . The main objective of this paper is to present an explicit formula for solving the ∂-equation λ = ∂g on the regular part of Σ, where λ is a ∂-closed (0, 1)-form with compact support. This formula will then be used to give Hölder estimates for the solution in case Σ is homogeneous (a cone) with an isolated singularity. Finally, a slight modification of our formula also gives an L 2 -bounded solution operator in case Σ is pure d-dimensional and homo…
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