Riesz means for the sublaplacian on the Heisenberg group
type: Item
instance of: scholarly article
title: Riesz means for the sublaplacian on the Heisenberg group
zbMATH Open document ID: 0726.43010
DOI: 10.1007/BF02880959
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
review text: The author gives a new proof of a theorem of \textit{G. Mauceri} [Ann. Inst. Fourier 31, No.4, 115-140 (1981; Zbl 0455.35039)] concerning the boundedness of the Riesz means associated with the sublaplacian on the Heisenberg group \(H^ n\). The main result can be stated as follows: for \(1\leq p\leq 2,\alpha >\alpha (p)=(2n+1)[(1/p)-(1/2)],\| S^{\alpha}_ Rf\|_{L^ p(H^ n)}\leq c\| f\|_{L^ p(H^ n)}\).
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 43A07
zbMATH DE Number: 4198769
zbMATH Keywords: boundedness
zbMATH Keywords: Riesz means
zbMATH Keywords: sublaplacian
zbMATH Keywords: Heisenberg group
author: S. Thangavelu
reviewed by: Mario Milman
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02880959
OpenAlex ID: W1966014711
description: scientific article; zbMATH DE number 4198769