Estimées Lp à poids et au bord pour des solutions de l’équation d-bar u=f dans un domaine linéellement convexe de type fini et applications
Philippe Charpentier
IMB, Université de Bordeaux 1
https://www.math.u-bordeaux.fr/~pcharpen/
Date(s) : 24/04/2017 iCal
10h00 - 11h00
Weighted and boundary Lp estimates for solutions of the ∂-equation on lineally convex domains of finite type and applications
We will first of all give an weighted estimate Lp, the latter being a power of the distance to the boundary, with gain both on the index p and on the power of the weight. Then we will give similar estimates when the data is expressed by a point anisotropic « norm » adapted to the geometry, to the context Lp and to the degree of the form f. We will apply these results, in particular, to obtain Lp and Lipschitz estimations for rather general weight Bergman projectors in a convex domain of finite type.
https://hal.archives-ouvertes.fr/hal-01507115/
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