Convex Sets and Subharmonicity of the Inverse Norm Function

Mohammad Taghi Heydari

doi:10.1155/2022/1172007

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.

Citation

Download 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

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS