Analyticity and polynomial approximation in modular function spaces
type: Item
instance of: scholarly article
title: Analyticity and polynomial approximation in modular function spaces
zbMATH Open document ID: 0692.41010
DOI: 10.1016/0021-9045(89)90004-X
author: Wojciech M. Kozlowski
author: Grzegorz Lewicki
published in: Journal of Approximation Theory
publication date: 1989-01-01T00:00:00Z
review text: Let E be a compact subset of \(C^ n\) and let \(L_ p\) be a modular functions space. The authors study the problem of analytic extension of \(f\in L_ p\) to a holomorphic function by means of polynomial approximations. The class of modular functions studied here is a large one that contains Orlicz spaces. The results proved generalize some of the results of \textit{W. Plesniak} [Proc. Int. Conf., Gdansk 1979, 558-571 (1981; Zbl 0487.41045)] for Orlicz spaces and some other earlier results of the authors [`Function spaces', Proc. Int. Conf. Poznań/Poland 1986, Teubner-Texte Math. 103, 63-68 (1988)] for s-convex function modulars.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 4132810
zbMATH Keywords: analytic extension
zbMATH Keywords: modular functions
zbMATH Keywords: Orlicz spaces
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4132810