Hyers-Ulam stability of the coefficient multipliers on analytic Hilbert spaces
type: Item
instance of: scholarly article
title: Hyers-Ulam stability of the coefficient multipliers on analytic Hilbert spaces
zbMATH Open document ID: 1544.39024
author: Chun Wang
author: Tian Zhou Xu
published in: Mediterranean Journal of Mathematics
publication date: 2024-07-03T00:00:00Z
review text: The authors investigate the Hyers-Ulam stability of the coefficient multipliers on the Hardy space \(H^2\) and the Bergman space \(A^2\). Meanwhile, they investigate the Hyers-Ulam stability of the coefficient multipliers between the Bergman space \(A^2\) and the Hardy space \(H^2\). Furthermore, they discuss the best constant of Hyers-Ulam stability. Some results generalize those by \textit{T. H. MacGregor} and \textit{K. Zhu} [Mathematika 42, No. 2, 413--426 (1995; Zbl 0844.30025)] when \(p = 2\).
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 47B91
Mathematics Subject Classification ID: 30H10
Mathematics Subject Classification ID: 30H20
zbMATH DE Number: 7875695
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: coefficient multipliers
zbMATH Keywords: Bergman space
zbMATH Keywords: Hardy space
MaRDI profile type: Publication
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DOI: 10.1007/S00009-024-02673-6
description: scientific article; zbMATH DE number 7875695