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On Extension Properties of Pluricomplex Green Functions
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 28 (2019) no. 2, pp. 329-356.

À condition que Ω 0 est une domaine bornée dans n et soit compact sous-ensemble de Ω 0 en maintenant que Ω:=Ω 0 soit connexe, cet article va examiner les propriétés d’extension de la fonction de Green pluricomplexe de Ω en sous-domaines strictement plus larges Ω ˜ de Ω comme une fonction de Green pluricomplexe. Le problème sera examiné quand Ω 0 soit une domaine Reinhardt complète bornée pseduconvexe dans n et une étude détaillée sur unité disque Δ 2 2 sera fournie.

Let Ω 0 be a bounded domain in n and be a compact subset of Ω 0 such that Ω:=Ω 0 is connected. This paper deals with the study of the extension properties of the pluricomplex Green function of Ω to strictly larger subdomains Ω ˜ of Ω as a pluricomplex Green function. The problem will be studied when Ω 0 is a pseudoconvex, bounded complete Reinhardt domain in n and a detailed study in unit bidisc Δ 2 2 will be provided.

Reçu le : 2017-03-16
Accepté le : 2017-05-17
Publié le : 2019-05-02
DOI : https://doi.org/10.5802/afst.1601
Classification : 32U35
Mots clés: pluricomplex Green functions, convex functions, Reinhardt domains
@article{AFST_2019_6_28_2_329_0,
     author = {S. Zeynep \"Ozal Kur\c sung\"oz},
     title = {On Extension Properties of Pluricomplex Green Functions},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 28},
     number = {2},
     year = {2019},
     pages = {329-356},
     doi = {10.5802/afst.1601},
     zbl = {07095684},
     mrnumber = {3957683},
     language = {en},
     url = {afst.centre-mersenne.org/item/AFST_2019_6_28_2_329_0/}
}
S. Zeynep Özal Kurşungöz. On Extension Properties of Pluricomplex Green Functions. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 28 (2019) no. 2, pp. 329-356. doi : 10.5802/afst.1601. https://afst.centre-mersenne.org/item/AFST_2019_6_28_2_329_0/

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