Abstract
In this paper, we show that in order for a proper compact subset of plane to be convex, it is necessary and sufficient that inverse norm function be subharmonic.
Citation
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
Information
Received: 4 November 2021; Revised: 10 December 2021; Accepted: 30 December 2021; Published: 2022
First available in Project Euclid: 28 July 2022
MathSciNet: MR4375456
zbMATH: 1497.31002
Digital Object Identifier: 10.1155/2022/1172007
Rights: Copyright © 2022 Hindawi