Approximation by rational functions in Hardy space
type: Item
instance of: scholarly article
title: Approximation by rational functions in Hardy space
zbMATH Open document ID: 0955.30039
DOI: 10.1016/S0898-1221(00)00147-4
author: Xin Li
publication date: 2000-07-09T00:00:00Z
review text: It is known that the set of rational functions generated by \(\{C (\overline\beta z)=(1- \overline\beta z)^{-1}: \beta\in \widetilde {\mathcal L}\}\) is dense in \(A({\mathbf D})\) if \(\widetilde{\mathcal L}\subseteq {\mathbf D}\) satisfies the Hayman-Lyons condition. The author generalizes the same type result for \(\widetilde {\mathcal L}\) which satisfies the weak Hayman-Lyons condition. Here, \(A( {\mathbf D})\) is a disk algebra and \({\mathbf D}\) is an open unit disc. He notes that it is not known whether the weak Hayman-Lyons condition is necessary in this case.
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 42A20
zbMATH DE Number: 1471523
reviewed by: Takahiko Nakazi
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1471523