Estimates for Solutions of the $\partial$-Equation and Application to the Characterization of the Zero Varieties of the Functions of the Nevanlinna Class for Linearly Convex Domains of Finite Type
| 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, Yves | |
| hal.structure.identifier | Chercheur indépendant | |
| dc.contributor.author | MOUNKAILA, , Modi | |
| dc.date.accessioned | 2024-04-04T02:22:35Z | |
| dc.date.available | 2024-04-04T02:22:35Z | |
| dc.date.created | 2010-07-01 | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189664 | |
| dc.description.abstractEn | In the late ten years, the resolution of the equation $\bar\partial u=f$ with sharp estimates has been intensively studied for convex domains of finite type by many authors. In this paper, we consider the case of lineally convex domains. As the method used to obtain global estimates for a support function cannot be carried out in this case, we use a kernel that does not gives directly a solution of the $\bar\partial$-equation but only a representation formula which allows us to end the resolution of the equation using Kohn's $L^2$ theory. As an application we give the characterization of the zero sets of the functions of the Nevanlinna class for lineally convex domains of finite type. | |
| dc.language.iso | en | |
| dc.subject.en | lineally convex | |
| dc.subject.en | finite type | |
| dc.subject.en | $\bar\partial$-equation | |
| dc.subject.en | Nevanlinna class | |
| dc.title.en | Estimates for Solutions of the $\partial$-Equation and Application to the Characterization of the Zero Varieties of the Functions of the Nevanlinna Class for Linearly Convex Domains of Finite Type | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s12220-013-9398-5 | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1102.1333 | |
| bordeaux.journal | Journal of Geometric Analysis | |
| bordeaux.page | 1860-1881 | |
| bordeaux.volume | 24 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00563932 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00563932v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Geometric%20Analysis&rft.date=2014&rft.volume=24&rft.issue=4&rft.spage=1860-1881&rft.epage=1860-1881&rft.au=CHARPENTIER,%20Philippe&DUPAIN,%20Yves&MOUNKAILA,%20,%20Modi&rft.genre=article |
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