Hardy's inequality for certain compact homogeneous spaces
type: Item
instance of: scholarly article
title: Hardy's inequality for certain compact homogeneous spaces
zbMATH Open document ID: 0582.43007
DOI: 10.1007/BF01198240
author: Bernd Dreseler
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: On sait que, si f est une fonction réelle de \(H^ 1(T)\), si \((c_ k)\) est la suite des coefficients de Fourier de f, alors la série de terme général (1/k) \(c_ k\) est absolument convergente. Ce résultat a été recemment généralisée à la sphère [\textit{R. R. Coifman} et \textit{G. Weiss}, Bull. Am. Math. Soc. 83, 569-645 (1977; Zbl 0358.30023)], aux groupes de Lie compacts [\textit{E. Giacalone}, J. Reine Angew. Math. 338, 144-148 (1983; Zbl 0488.22011)], et aux espaces symétriques compacts [\textit{F. Cazzaniga} et \textit{E. Giacalone}, Boll. Unione Mat. Ital., VI. Ser., A 2, 381-388 (1983; Zbl 0536.43020)]. L'A. généralise ici les résultats précédents, en étudiant une classe d'espaces de Lie homogènes.
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 43A20
Mathematics Subject Classification ID: 42B30
zbMATH DE Number: 3931685
zbMATH Keywords: Hardy inequality
zbMATH Keywords: compact homogeneous spaces
zbMATH Keywords: Fourier coefficients
reviewed by: Noël Leblanc
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01198240
OpenAlex ID: W2084375470
description: scientific article; zbMATH DE number 3931685