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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A characterization of weak pseudoconvexity


Author: Akira Sakai
Journal: Proc. Amer. Math. Soc. 105 (1989), 314-316
MSC: Primary 32F15
MathSciNet review: 933520
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Abstract: It is proved that a smooth domain $ D$ of $ {{\mathbf{C}}^n}$ is weakly pseudoconvex, if, for every strongly pseudoconvex domain $ D'$ with $ D \cap D' = \emptyset $ and $ E = \bar D \cap \bar D' \ne \emptyset ,E$ is totally real.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0933520-7
Keywords: Weakly and strongly pseudoconvex domain, Levi form, totally real
Article copyright: © Copyright 1989 American Mathematical Society