Lower bound of admissible functions on sphere
type: Item
instance of: scholarly article
title: Lower bound of admissible functions on sphere
zbMATH Open document ID: 1024.53046
DOI: 10.1016/S0007-4497(02)01136-3
author: Adnène Ben Abdesselem
published in: Bulletin des Sciences Mathématiques
publication date: 2003-03-23T00:00:00Z
review text: Let \(S^2=\mathbb{C} P^1\) be the complex projective line and let \(\psi( [z_0,z_1])= \log{|z_0|^2 |z_1|^2 \over(|z_0 |^2 +|z_1|^2)}\). This function has the maximal value \(\log 4\) and tends to minus infinity if \(z_0\) or \(z_1\) goes to zero. The main result of this paper is that \(\psi\) is a lower bound for a class of functions called admissible.
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1886876
zbMATH Keywords: admissible functions
zbMATH Keywords: complex projective line
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1886876