Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup

Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup

<p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2011-741095-i2.gif"/></inline-formula><inline-formula> <graphic file="1029-242X-2011-741095-i3.gif"/></inline-formula> where <inline-formula> <graphic f...

Full description

Bibliographic Details
Main Author: Huang Jizheng
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2011/741095
id doaj-fe70ece8808b4cd4bf9138b7a5805976
record_format Article
spelling doaj-fe70ece8808b4cd4bf9138b7a58059762020-11-25T01:49:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111741095Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre HypergroupHuang Jizheng<p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2011-741095-i2.gif"/></inline-formula><inline-formula> <graphic file="1029-242X-2011-741095-i3.gif"/></inline-formula> where <inline-formula> <graphic file="1029-242X-2011-741095-i4.gif"/></inline-formula>. Then <inline-formula> <graphic file="1029-242X-2011-741095-i5.gif"/></inline-formula> can generate a hypergroup which is called Laguerre hypergroup, and we denote this hypergroup by <b>K</b>. In this paper, we will consider the Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i6.gif"/></inline-formula>-functions on <b>K</b> and then we use it to prove the H&#246;lmander multipliers on <b>K</b>.</p>http://www.journalofinequalitiesandapplications.com/content/2011/741095
collection DOAJ
language English
format Article
sources DOAJ
author Huang Jizheng
spellingShingle Huang Jizheng
Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup
Journal of Inequalities and Applications
author_facet Huang Jizheng
author_sort Huang Jizheng
title Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup
title_short Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup
title_full Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup
title_fullStr Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup
title_full_unstemmed Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i1.gif"/></inline-formula>-Functions and Multipliers for the Laguerre Hypergroup
title_sort littlewood-paley <inline-formula> <graphic file="1029-242x-2011-741095-i1.gif"/></inline-formula>-functions and multipliers for the laguerre hypergroup
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2011-01-01
description <p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2011-741095-i2.gif"/></inline-formula><inline-formula> <graphic file="1029-242X-2011-741095-i3.gif"/></inline-formula> where <inline-formula> <graphic file="1029-242X-2011-741095-i4.gif"/></inline-formula>. Then <inline-formula> <graphic file="1029-242X-2011-741095-i5.gif"/></inline-formula> can generate a hypergroup which is called Laguerre hypergroup, and we denote this hypergroup by <b>K</b>. In this paper, we will consider the Littlewood-Paley <inline-formula> <graphic file="1029-242X-2011-741095-i6.gif"/></inline-formula>-functions on <b>K</b> and then we use it to prove the H&#246;lmander multipliers on <b>K</b>.</p>
url http://www.journalofinequalitiesandapplications.com/content/2011/741095
work_keys_str_mv AT huangjizheng littlewoodpaleyinlineformulagraphicfile1029242x2011741095i1gifinlineformulafunctionsandmultipliersforthelaguerrehypergroup
_version_ 1725005044686782464

Similar Items