A characterization of strongly exposed points of the unit ball of \(H^ 1\)
type: Item
instance of: scholarly article
title: A characterization of strongly exposed points of the unit ball of \(H^ 1\)
zbMATH Open document ID: 0802.32015
DOI: 10.1016/0019-3577(93)90022-Q
published in: Indagationes Mathematicae. New Series
publication date: 1994-04-12T00:00:00Z
review text: Let \(U\) be the closed unit ball in the Hardy space \(H^ 1(B)\), where \(B\) is the unit ball in \(\mathbb{C}^ n\). The author provides a necessary and sufficient condition for an exposed element \(f\in U\) to be strongly exposed, by using among other things a result on function algebra due to F. \& M. Riesz.
reviewed by: Tan Vovan
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 549290
zbMATH Keywords: exposed points
zbMATH Keywords: unit ball
zbMATH Keywords: Hardy space
author: Jan Wiegerinck
MaRDI profile type: Publication
cites work: Q3922907
cites work: The Solution Sets of Extremal Problems in H 1
cites work: Q5727906
cites work: Pseudo-Uniform Convexity of H 1 in Several Variables
cites work: Extreme points and extremum problems in \(H_1\)
cites work: Exposed points and external problems in \(H^ 1\). II
cites work: Existence of solutions of extremal problems in H1
cites work: Pseudo-Uniform Convexity in H 1
cites work: Moebius-invariant function spaces on balls and spheres
cites work: Q3958740
cites work: Q3834518
cites work: Q3973524
cites work: Extremal properties of the unit ball in \(H^ 1\)
cites work: Q4486796
cites work: Some uniqueness theorems for \(H^p(U^n)\) functions
description: scientific article; zbMATH DE number 549290