On convexity of composition and multiplication operators on weighted Hardy spaces
type: Item
instance of: scholarly article
title: On convexity of composition and multiplication operators on weighted Hardy spaces
zbMATH Open document ID: 1191.47040
DOI: 10.1155/2009/931020
author: K. Hedayatian
author: Lotfollah Karimi
published in: Abstract and Applied Analysis
publication date: 2010-04-08T00:00:00Z
full work available at URL: https://eudml.org/doc/224079
review text: Summary: A bounded linear operator \(T\) on a Hilbert space \(\mathbb H\), satisfying \(\| T^{2}h\|^2+\| h\| ^{2}\geq 2\| Th\|^2\) for every \(h\in \mathbb H\), is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss convexity of multiplication operators.
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 46E20
Mathematics Subject Classification ID: 47B33
zbMATH DE Number: 5690915
zbMATH Keywords: weighted Hardy space
MaRDI profile type: Publication
OpenAlex ID: W2015299387
Wikidata QID: Q58646697
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description: scientific article; zbMATH DE number 5690915