A new characterization of a class of pseudoconvex domains in $ {\mathbb{C}}^{2}$

Colombo, Fabrizio; Luna-Elizarrarás, M. Elena; Sabadini, Irene; Shapiro, Michael; Struppa, Daniele C.

doi:10.1016/j.crma.2007.04.014

Complex Analysis

A new characterization of a class of pseudoconvex domains in

C^{2}

[Une nouvelle caractérisation d'une classe des domaines pseudoconvexes en

C^{2}

]

Présenté par : Jean-Pierre Demailly

Colombo, Fabrizio ¹ ; Luna-Elizarrarás, M. Elena ² ; Sabadini, Irene ¹ ; Shapiro, Michael ² ; Struppa, Daniele C.³

¹ Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy
² Departamento de Matemáticas E.S.F.M. del I.P.N. 07338 México D.F., Mexico
³ Department of Mathematics and Computer Science, Chapman University, 92866 Orange, CA, USA

Comptes Rendus. Mathématique, Tome 344 (2007) no. 11, pp. 677-680.

Résumé
Abstract

En utilisant l'inverse à droite de l'opérateur de Cauchy–Fueter, nous démontrons une caractérisation en forme intégrale d'une classe de domaines pseudoconvexes en $C^{2}$ .

By using the right inverse of the Cauchy–Fueter operator we obtain an explicit integral characterization of a class of pseudoconvex domains in $C^{2}$ .

Reçu le : 2006-06-01
Accepté le : 2007-04-03
Publié le : 2007-05-23

DOI : 10.1016/j.crma.2007.04.014

Affiliations des auteurs :

Colombo, Fabrizio ¹ ; Luna-Elizarrarás, M. Elena ² ; Sabadini, Irene ¹ ; Shapiro, Michael ² ; Struppa, Daniele C. ³

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     title = {A new characterization of a class of pseudoconvex domains in $ {\mathbb{C}}^{2}$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {677--680},
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Colombo, Fabrizio; Luna-Elizarrarás, M. Elena; Sabadini, Irene; Shapiro, Michael; Struppa, Daniele C. A new characterization of a class of pseudoconvex domains in $ {\mathbb{C}}^{2}$. Comptes Rendus. Mathématique, Tome 344 (2007) no. 11, pp. 677-680. doi : 10.1016/j.crma.2007.04.014. http://www.numdam.org/articles/10.1016/j.crma.2007.04.014/

Bibliographie
Cité par

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