WEIGHTED ESTIMATES FOR SOLUTIONS OF THE ∂ -EQUATION FOR LINEALLY CONVEX DOMAINS OF FINITE TYPE AND APPLICATIONS TO WEIGHTED BERGMAN PROJECTIONS
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHARPENTIER, Philippe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUPAIN, Y | |
| hal.structure.identifier | Département de Mathématiques et Informatique | |
| dc.contributor.author | MOUNKAILA, M | |
| dc.date.accessioned | 2024-04-04T03:14:51Z | |
| dc.date.available | 2024-04-04T03:14:51Z | |
| dc.date.created | 2016-05-03 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194099 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.title.en | WEIGHTED ESTIMATES FOR SOLUTIONS OF THE ∂ -EQUATION FOR LINEALLY CONVEX DOMAINS OF FINITE TYPE AND APPLICATIONS TO WEIGHTED BERGMAN PROJECTIONS | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1605.02443 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01311050 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01311050v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CHARPENTIER,%20Philippe&DUPAIN,%20Y&MOUNKAILA,%20M&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||