Coefficient multipiers of Lipschitz functions
type: Item
instance of: scholarly article
title: Coefficient multipiers of Lipschitz functions
zbMATH Open document ID: 0799.30025
DOI: 10.1007/BF01236621
published in: Mathematical Notes
publication date: 1994-07-21T00:00:00Z
review text: The author studies multipliers on Lipschitz spaces of holomorphic functions in the unit disc (a holomorphic function is identified with the sequence of its Taylor coefficients, and multipliers are multiplication operators on this sequence space). The main result states the coincidence of the sets of multipliers from \(L_ \infty\)- and \(L_ 2\)-versions of Lipschitz spaces to a class of target spaces. This allows to describe some multiplier spaces. The results are applied to trigonometric series and are partially generalized to the case of the unit ball in \(\mathbb{C}^ n\).
Mathematics Subject Classification ID: 30D55
zbMATH DE Number: 578691
zbMATH Keywords: Lipschitz spaces
zbMATH Keywords: multiplier
author: G. D. Levshina
reviewed by: Wojbor A. Woyczyński
MaRDI profile type: Publication
cites work: Q5565805
cites work: Q5527180
cites work: Linear functionals on Lipschitz spaces of functions holomorphic in the unit disc
cites work: Coefficient Multipliers of Bloch Functions
cites work: Q5731913
cites work: A note on Lipschitz classes
cites work: Q5618011
cites work: Q3729290
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description: scientific article; zbMATH DE number 578691