Local vs. global hyperconvexity, tautness or $k$-completeness for unbounded open sets in $\mathcal {C}^n$

Nikolov, Nikolai; Pflug, Peter

Local vs. global hyperconvexity, tautness or

k

-completeness for unbounded open sets in

𝒞^{n}

Nikolov, Nikolai ¹ ; Pflug, Peter ²

¹ Institute of Mathematics and Informatics Bulgarian Academy of Sciences 1113 Sofia, Bulgaria
² Carl von Ossietzky Universität Oldenburg Fachbereich Mathematik Postfach 2503 D-26111 Oldenburg, Germany

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 601-618

Résumé

Some known localization results for hyperconvexity, tautness or $k$ -completeness of bounded domains in $ℂ^{n}$ are extended to unbounded open sets in $𝒞^{n}$ .

MR Zbl

Classification : 32A19, 32F45, 32Q45

Affiliations des auteurs :

Nikolov, Nikolai ¹ ; Pflug, Peter ²

¹ Institute of Mathematics and Informatics Bulgarian Academy of Sciences 1113 Sofia, Bulgaria
² Carl von Ossietzky Universität Oldenburg Fachbereich Mathematik Postfach 2503 D-26111 Oldenburg, Germany

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     author = {Nikolov, Nikolai and Pflug, Peter},
     title = {Local vs. global hyperconvexity, tautness or $k$-completeness for unbounded open sets in $\mathcal {C}^n$},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {601--618},
     year = {2005},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 4},
     number = {4},
     mrnumber = {2207736},
     zbl = {1170.32302},
     language = {en},
     url = {https://www.numdam.org/item/ASNSP_2005_5_4_4_601_0/}
}

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Nikolov, Nikolai; Pflug, Peter. Local vs. global hyperconvexity, tautness or $k$-completeness for unbounded open sets in $\mathcal {C}^n$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 601-618. https://www.numdam.org/item/ASNSP_2005_5_4_4_601_0/

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