Convex Sets and Subharmonicity of the Inverse Norm Function

Mohammad Taghi Heydari and Simeon Reich

Abstract and Applied Analysis, 2022, vol. 2022, 1-3

Abstract: In this paper, we show that in order for a proper compact subset K of plane â„ 2 to be convex, it is necessary and sufficient that inverse norm function be subharmonic.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:1172007

DOI: 10.1155/2022/1172007

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