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Proceedings of the American Mathematical Society

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

 

 

Subharmonicity, the distance function, and $ a$-admissible sets


Author: Stephen J. Gardiner
Journal: Proc. Amer. Math. Soc. 112 (1991), 979-981
MSC: Primary 31B05
DOI: https://doi.org/10.1090/S0002-9939-1991-1065946-7
MathSciNet review: 1065946
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Abstract: Let $ \Omega $ be an open subset of $ {\mathbb{R}^n}$. The main result of this paper shows that a one-sided control on the curvature of $ \partial \Omega $ is equivalent to subharmonicity of a function related to $ \operatorname{dist}(X,\partial \Omega )$. An application is given.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1065946-7
Article copyright: © Copyright 1991 American Mathematical Society