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  • Research Article
  • 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:

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.

Keywords

  • Full Article
  • Publisher Note
  • Laguerre Hypergroup

Publisher note

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Authors’ Affiliations

(1)
College of Sciences, North China University of Technology, Beijing, 100144, China
(2)
CEMA, Central University of Finance and Economics, Beijing, 100081, China

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.

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