Under a holomorphicity condition on the weight and metric, the adjoint of ∂ on weighted Bergman spaces is explicitly computed, yielding sharp canonical solution estimates for the ∂-equation on the unit ball.
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The $\partial$-complex on weighted Bergman spaces on Hermitian manifolds
Under a holomorphicity condition on the weight and metric, the adjoint of ∂ on weighted Bergman spaces is explicitly computed, yielding sharp canonical solution estimates for the ∂-equation on the unit ball.