An improved Hardy's inequality associated with the Laguerre Fourier transform
type: Item
instance of: scholarly article
title: An improved Hardy's inequality associated with the Laguerre Fourier transform
zbMATH Open document ID: 1272.43005
author: Assal Miloud
author: Rahmouni Atef
published in: Collectanea Mathematica
publication date: 2013-06-13T00:00:00Z
review text: The authors derive Hardy inequalities for functions in the Hardy space \(H^p(K)\) for \(0<p\leq 1\) and for the Laguerre hypergroups on \(K:=[0,\infty[\times\mathbb R\) depending on the index \(\alpha\) of the hypergroups. These examples include certain orbit hypergroups associated with Heisenberg groups.
Mathematics Subject Classification ID: 43A62
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 6175269
zbMATH Keywords: Hardy space
zbMATH Keywords: atomic decomposition
zbMATH Keywords: Hardy's type inequality
zbMATH Keywords: Laguerre Fourier transform
zbMATH Keywords: Laguerre hypergroup
reviewed by: Michael Voit
MaRDI profile type: Publication
full work available at URL: s13348-012-0069-9
OpenAlex ID: W1971965823
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DOI: 10.1007/S13348-012-0069-9
description: scientific article; zbMATH DE number 6175269