q‐pseudoconvex and q‐holomorphically convex domains

George‐Ionuţ Ioniţă and Ovidiu Preda

Mathematische Nachrichten, 2019, vol. 292, issue 12, 2619-2623

Abstract: In this article we prove a global result in the spirit of Basener's theorem regarding the relation between q‐pseudoconvexity and q‐holomorphic convexity: we prove that any open subset Ω⊂Cn with smooth boundary, strictly q‐pseudoconvex, is (q+1)‐holomorphically convex; moreover, assuming that Ω verifies an additional assumption, we prove that it is q‐holomorphically convex. We also prove that any open subset of Cn is n‐holomorphically convex.

Date: 2019
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https://doi.org/10.1002/mana.201800259

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:12:p:2619-2623

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