WEIGHTED ESTIMATES FOR SOLUTIONS OF THE ∂ -EQUATION FOR LINEALLY CONVEX DOMAINS OF FINITE TYPE AND APPLICATIONS TO WEIGHTED BERGMAN PROJECTIONS
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In this paper we obtain sharp weighted estimates for solutions of the ∂-equation in a lineally convex domains of finite type. Precisely we obtain estimates in spaces of the form L p (Ω,δ γ), δ being the distance to the ...Lire la suite >
In this paper we obtain sharp weighted estimates for solutions of the ∂-equation in a lineally convex domains of finite type. Precisely we obtain estimates in spaces of the form L p (Ω,δ γ), δ being the distance to the boundary, with gain on the index p and the exponent γ. These estimates allow us to extend the L p (Ω,δ γ) and lipschitz regularity results for weighted Bergman projection obtained in [CDM14b] for convex domains to more general weights.< Réduire
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