Convex Sets and Subharmonicity of the Inverse Norm Function

Mohammad Taghi Heydari

doi:10.1155/2022/1172007

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2022 Convex Sets and Subharmonicity of the Inverse Norm Function

Mohammad Taghi Heydari

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Abstract

In this paper, we show that in order for a proper compact subset $K$ of plane ${\Bbb R}^{2}$ to be convex, it is necessary and sufficient that inverse norm function be subharmonic.

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Mohammad Taghi Heydari. "Convex Sets and Subharmonicity of the Inverse Norm Function." Abstr. Appl. Anal. 2022 1 - 3, 2022. https://doi.org/10.1155/2022/1172007

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Received: 4 November 2021; Revised: 10 December 2021; Accepted: 30 December 2021; Published: 2022

First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/1172007

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