Open Access

Littlewood-Paley -Functions and Multipliers for the Laguerre Hypergroup

Journal of Inequalities and Applications20112011:741095

https://doi.org/10.1155/2011/741095

Received: 4 November 2010

Accepted: 13 January 2011

Published: 23 January 2011

Abstract

Let where . Then can generate a hypergroup which is called Laguerre hypergroup, and we denote this hypergroup by K. In this paper, we will consider the Littlewood-Paley -functions on K and then we use it to prove the Hölmander multipliers on K.

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Authors’ Affiliations

(1)
College of Sciences, North China University of Technology
(2)
CEMA, Central University of Finance and Economics

Copyright

© Jizheng Huang. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.