Subharmonicity, the distance function, and 𝑎-admissible sets

Gardiner, Stephen J.

doi:10.1090/S0002-9939-1991-1065946-7

Subharmonicity, the distance function, and $a$-admissible sets
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by Stephen J. Gardiner PDF

Proc. Amer. Math. Soc. 112 (1991), 979-981 Request permission

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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