Estimates for some Weighted Bergman Projections
Résumé
In this paper we investigate the regularity properties of weighted Bergman projections for smoothly bounded pseudo-convex domains of finite type in $\mathbb{C}^{n}$. The main result is obtained for weights comparable to a non negative rational power of the distance to the boundary: we prove Sobolev-$L^{p}$ and Lipchitz estimates for domains in $\mathbb{C}^{2}$ and for convex domains.
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