Convex Sets and Subharmonicity of the Inverse Norm Function

In this paper, we show that in order for a proper compact subset K of plane ℝ2 to be convex, it is necessary and sufficient that inverse norm function be subharmonic.

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Bibliographic Details
Main Author: Mohammad Taghi Heydari
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2022/1172007
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