Littlewood-Paley \(g\)-functions and multipliers for the Laguerre hypergroup
type: Item
instance of: scholarly article
title: Littlewood-Paley \(g\)-functions and multipliers for the Laguerre hypergroup
zbMATH Open document ID: 1222.43011
DOI: 10.1155/2011/741095
published in: Journal of Inequalities and Applications
publication date: 2011-05-13T00:00:00Z
full work available at URL: https://eudml.org/doc/233199
review text: The differential operator \[ L=-\bigg(\frac{\partial^2}{\partial x^2}+ \frac{2\alpha+1}{x} \frac{\partial}{\partial x} + x^2 \frac{\partial^2}{\partial t^2} \bigg) \] and the generated Laguerre hypergroup \(K\) are considered. It is proved that the corresponding Littlewood-Paley \(g\)-function is bounded on \(L_p(K)\), \(1<p<\infty\). The Hörmander multiplier theorem is also proved.
Mathematics Subject Classification ID: 43A62
zbMATH DE Number: 5887697
zbMATH Keywords: Laguerre hypergroup
zbMATH Keywords: Littlewood-Paley \(g\)-function
zbMATH Keywords: Hörmander multiplier theorem
Wikidata QID: Q59267317
author: Jizheng Huang
reviewed by: Ferenc Weisz
MaRDI profile type: Publication
OpenAlex ID: W2057020267
cites work: Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
cites work: Spaces with an abstract convolution of measures
cites work: Mean Summability Methods for Laguerre Series
cites work: The Weak Type (1, 1) Estimates of Maximal Functions on the Laguerre Hypergroup
description: scientific article; zbMATH DE number 5887697